3302925120 has 448 divisors, whose sum is σ = 13272698880. Its totient is φ = 765388800.

The previous prime is 3302925103. The next prime is 3302925151. The reversal of 3302925120 is 215292033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185165 + ... + 2186675.

It is an arithmetic number, because the mean of its divisors is an integer number (29626560).

Almost surely, 2^3302925120 is an apocalyptic number.

3302925120 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 3302925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636349440).

3302925120 is an abundant number, since it is smaller than the sum of its proper divisors (9969773760).

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

3302925120 is a wasteful number, since it uses less digits than its factorization.

3302925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3302925120 is about 57471.0807276146. The cubic root of 3302925120 is about 1489.2453154583.

The spelling of 3302925120 in words is "three billion, three hundred two million, nine hundred twenty-five thousand, one hundred twenty".