3138064325928 has 640 divisors, whose sum is σ = 10784182886400. Its totient is φ = 832629321216.

The previous prime is 3138064325927. The next prime is 3138064325959. The reversal of 3138064325928 is 8295234608313.

3138064325928 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 0 + 6 + 43 + 2 + 592 + 8 = 666.

3138064325928 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 2×3138064325928² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3138064325927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1287673926 + ... + 1287676362.

It is an arithmetic number, because the mean of its divisors is an integer number (16850285760).

Almost surely, 2^{3138064325928} is an apocalyptic number.

3138064325928 is a gapful number since it is divisible by the number (38) 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 3138064325928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392091443200).

3138064325928 is an abundant number, since it is smaller than the sum of its proper divisors (7646118560472).

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

3138064325928 is a wasteful number, since it uses less digits than its factorization.

3138064325928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3138064325928 in words is "three trillion, one hundred thirty-eight billion, sixty-four million, three hundred twenty-five thousand, nine hundred twenty-eight".