3362880120 has 64 divisors (see below), whose sum is σ = 10110597120. Its totient is φ = 894816384.

The previous prime is 3362880083. The next prime is 3362880133. The reversal of 3362880120 is 210882633.

3362880120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3362880120² = 22617925402982428800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25297 + ... + 85823.

It is an arithmetic number, because the mean of its divisors is an integer number (157978080).

Almost surely, 2^3362880120 is an apocalyptic number.

3362880120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3362880120 is an abundant number, since it is smaller than the sum of its proper divisors (6747717000).

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

3362880120 is a wasteful number, since it uses less digits than its factorization.

3362880120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61004 (or 61000 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3362880120 is about 57990.3450584664. The cubic root of 3362880120 is about 1498.2023086200.

The spelling of 3362880120 in words is "three billion, three hundred sixty-two million, eight hundred eighty thousand, one hundred twenty".