3120828553920 has 672 divisors, whose sum is σ = 12531230208000. Its totient is φ = 644106608640.

The previous prime is 3120828553919. The next prime is 3120828553943. The reversal of 3120828553920 is 293558280213.

3120828553920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3120828553920.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121142001 + ... + 121167759.

It is an arithmetic number, because the mean of its divisors is an integer number (18647664000).

Almost surely, 2^{3120828553920} is an apocalyptic number.

3120828553920 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 3120828553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265615104000).

3120828553920 is an abundant number, since it is smaller than the sum of its proper divisors (9410401654080).

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

3120828553920 is a wasteful number, since it uses less digits than its factorization.

3120828553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25957 (or 25936 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 3120828553920 in words is "three trillion, one hundred twenty billion, eight hundred twenty-eight million, five hundred fifty-three thousand, nine hundred twenty".