38207134070784 has 864 divisors, whose sum is σ = 141827039696160. Its totient is φ = 9827392684032.

The previous prime is 38207134070773. The next prime is 38207134070827. The reversal of 38207134070784 is 48707043170283.

It is a super-2 number, since 2×38207134070784² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38207134070784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 353084592 + ... + 353192784.

It is an arithmetic number, because the mean of its divisors is an integer number (164151666315).

Almost surely, 2^{38207134070784} is an apocalyptic number.

38207134070784 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 38207134070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70913519848080).

38207134070784 is an abundant number, since it is smaller than the sum of its proper divisors (103619905625376).

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

38207134070784 is a wasteful number, since it uses less digits than its factorization.

38207134070784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108275 (or 108245 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 38207134070784 in words is "thirty-eight trillion, two hundred seven billion, one hundred thirty-four million, seventy thousand, seven hundred eighty-four".