3337964928 has 192 divisors, whose sum is σ = 9996979200. Its totient is φ = 1067904000.

The previous prime is 3337964921. The next prime is 3337964983. The reversal of 3337964928 is 8294697333.

3337964928 is a `hidden beast` number, since 33 + 37 + 96 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3337964928² = 22284019721116090368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337964921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5392203 + ... + 5392821.

It is an arithmetic number, because the mean of its divisors is an integer number (52067600).

Almost surely, 2^3337964928 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 3337964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998489600).

3337964928 is an abundant number, since it is smaller than the sum of its proper divisors (6659014272).

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

3337964928 is a wasteful number, since it uses less digits than its factorization.

3337964928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 806 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3337964928 is about 57775.1237817800. The cubic root of 3337964928 is about 1494.4931303316.

It can be divided in two parts, 333796 and 4928, that added together give a square (338724 = 582²).

The spelling of 3337964928 in words is "three billion, three hundred thirty-seven million, nine hundred sixty-four thousand, nine hundred twenty-eight".