3338365120 has 56 divisors (see below), whose sum is σ = 8028267408. Its totient is φ = 1322112000.

The previous prime is 3338365109. The next prime is 3338365133. The reversal of 3338365120 is 215638333.

3338365120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3338365120² = 22289363348865228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19326 + ... + 83965.

It is an arithmetic number, because the mean of its divisors is an integer number (143361918).

Almost surely, 2^3338365120 is an apocalyptic number.

It is an amenable number.

3338365120 is an abundant number, since it is smaller than the sum of its proper divisors (4689902288).

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

3338365120 is a wasteful number, since it uses less digits than its factorization.

3338365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103409 (or 103399 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 3338365120 is about 57778.5870370676. The cubic root of 3338365120 is about 1494.5528533772.

The spelling of 3338365120 in words is "three billion, three hundred thirty-eight million, three hundred sixty-five thousand, one hundred twenty".