3362516928 has 224 divisors, whose sum is σ = 10459760640. Its totient is φ = 1057536000.

The previous prime is 3362516923. The next prime is 3362517047. The reversal of 3362516928 is 8296152633.

3362516928 is a `hidden beast` number, since 3 + 3 + 625 + 16 + 9 + 2 + 8 = 666.

It is a super-3 number, since 3×3362516928³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362516923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2195523 + ... + 2197053.

It is an arithmetic number, because the mean of its divisors is an integer number (46695360).

Almost surely, 2^3362516928 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 3362516928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229880320).

3362516928 is an abundant number, since it is smaller than the sum of its proper divisors (7097243712).

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

3362516928 is a wasteful number, since it uses less digits than its factorization.

3362516928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1608 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 3362516928 is about 57987.2134871128. The cubic root of 3362516928 is about 1498.1483712545.

The spelling of 3362516928 in words is "three billion, three hundred sixty-two million, five hundred sixteen thousand, nine hundred twenty-eight".