3138875950464 has 320 divisors, whose sum is σ = 10058401702800. Its totient is φ = 968051589120.

The previous prime is 3138875950411. The next prime is 3138875950471. The reversal of 3138875950464 is 4640595788313.

3138875950464 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 87 + 5 + 95 + 0 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10248184 + ... + 10550024.

Almost surely, 2^{3138875950464} is an apocalyptic number.

3138875950464 is a gapful number since it is divisible by the number (34) 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 3138875950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029200851400).

3138875950464 is an abundant number, since it is smaller than the sum of its proper divisors (6919525752336).

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

3138875950464 is a wasteful number, since it uses less digits than its factorization.

3138875950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301943 (or 301922 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 3138875950464 in words is "three trillion, one hundred thirty-eight billion, eight hundred seventy-five million, nine hundred fifty thousand, four hundred sixty-four".