3325936320 has 504 divisors, whose sum is σ = 13828617504. Its totient is φ = 718626816.

The previous prime is 3325936303. The next prime is 3325936343. The reversal of 3325936320 is 236395233.

3325936320 is a `hidden beast` number, since 3 + 3 + 2 + 593 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×3325936320² = 22123704809390284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7277532 + ... + 7277988.

Almost surely, 2^3325936320 is an apocalyptic number.

3325936320 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 3325936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914308752).

3325936320 is an abundant number, since it is smaller than the sum of its proper divisors (10502681184).

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

3325936320 is a wasteful number, since it uses less digits than its factorization.

3325936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The square root of 3325936320 is about 57670.9313259288. The cubic root of 3325936320 is about 1492.6957968089.

The spelling of 3325936320 in words is "three billion, three hundred twenty-five million, nine hundred thirty-six thousand, three hundred twenty".