3138937192080 has 320 divisors, whose sum is σ = 11842647379200. Its totient is φ = 760645509120.

The previous prime is 3138937192057. The next prime is 3138937192129. The reversal of 3138937192080 is 802917398313.

3138937192080 is a `hidden beast` number, since 31 + 3 + 89 + 371 + 92 + 0 + 80 = 666.

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

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, 408966 + ... + 2538725.

It is an arithmetic number, because the mean of its divisors is an integer number (37008273060).

Almost surely, 2^{3138937192080} is an apocalyptic number.

3138937192080 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 3138937192080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921323689600).

3138937192080 is an abundant number, since it is smaller than the sum of its proper divisors (8703710187120).

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

3138937192080 is a wasteful number, since it uses less digits than its factorization.

3138937192080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947759 (or 2947747 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3138937192080 in words is "three trillion, one hundred thirty-eight billion, nine hundred thirty-seven million, one hundred ninety-two thousand, eighty".