3333000 has 128 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 800000.

The previous prime is 3332983. The next prime is 3333007. The reversal of 3333000 is 3333.

3333000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3333000² = 22217778000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (3333007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32950 + ... + 33050.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

Almost surely, 2^3333000 is an apocalyptic number.

3333000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

3333000 is an abundant number, since it is smaller than the sum of its proper divisors (8123640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3333000 is a wasteful number, since it uses less digits than its factorization.

3333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 12.

The square root of 3333000 is about 1825.6505689753. The cubic root of 3333000 is about 149.3751787140.

Adding to 3333000 its reverse (3333), we get a palindrome (3336333).

3333000 divided by its reverse (3333) gives a cube (1000 = 10³).

It can be divided in two parts, 333 and 3000, that added together give a palindrome (3333).

The spelling of 3333000 in words is "three million, three hundred thirty-three thousand".