3360000 has 180 divisors, whose sum is σ = 12770912. Its totient is φ = 768000.

The previous prime is 3359989. The next prime is 3360011. The reversal of 3360000 is 633.

It is an interprime number because it is at equal distance from previous prime (3359989) and next prime (3360011).

It is a super-2 number, since 2×3360000² = 22579200000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479997 + ... + 480003.

Almost surely, 2^3360000 is an apocalyptic number.

3360000 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 3360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385456).

3360000 is an abundant number, since it is smaller than the sum of its proper divisors (9410912).

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

3360000 is an frugal number, since it uses more digits than its factorization.

3360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3360000 is about 1833.0302779823. The cubic root of 3360000 is about 149.7774477444. Note that the first 3 decimals are identical.

Adding to 3360000 its reverse (633), we get a palindrome (3360633).

The spelling of 3360000 in words is "three million, three hundred sixty thousand".