38951950875264 has 256 divisors, whose sum is σ = 131431044096000. Its totient is φ = 11125275098112.

The previous prime is 38951950875199. The next prime is 38951950875287. The reversal of 38951950875264 is 46257805915983.

38951950875264 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 1 + 9 + 508 + 7 + 52 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38951950875192 and 38951950875201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69952057 + ... + 70506695.

It is an arithmetic number, because the mean of its divisors is an integer number (513402516000).

It is a 1-persistent number, because it is pandigital, but 2⋅38951950875264 = 77903901750528 is not.

Almost surely, 2^{38951950875264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38951950875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65715522048000).

38951950875264 is an abundant number, since it is smaller than the sum of its proper divisors (92479093220736).

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

38951950875264 is a wasteful number, since it uses less digits than its factorization.

38951950875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557572 (or 557554 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 38951950875264 in words is "thirty-eight trillion, nine hundred fifty-one billion, nine hundred fifty million, eight hundred seventy-five thousand, two hundred sixty-four".