3330400 has 72 divisors (see below), whose sum is σ = 8530704. Its totient is φ = 1267200.

The previous prime is 3330391. The next prime is 3330401. The reversal of 3330400 is 40333.

It is a super-2 number, since 2×3330400² = 22183128320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18310 + ... + 18490.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 2^3330400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

3330400 is an abundant number, since it is smaller than the sum of its proper divisors (5200304).

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

3330400 is a wasteful number, since it uses less digits than its factorization.

3330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 3330400 is about 1824.9383551233. The cubic root of 3330400 is about 149.3363271792.

Adding to 3330400 its reverse (40333), we get a palindrome (3370733).

The spelling of 3330400 in words is "three million, three hundred thirty thousand, four hundred".