38965456007704 has 96 divisors (see below), whose sum is σ = 79211827800000. Its totient is φ = 17907293193216.

The previous prime is 38965456007683. The next prime is 38965456007771. The reversal of 38965456007704 is 40770065456983.

It is a super-3 number, since 3×38965456007704³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474146422 + ... + 2474162170.

It is an arithmetic number, because the mean of its divisors is an integer number (825123206250).

Almost surely, 2^{38965456007704} is an apocalyptic number.

38965456007704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38965456007704 is an abundant number, since it is smaller than the sum of its proper divisors (40246371792296).

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

38965456007704 is a wasteful number, since it uses less digits than its factorization.

38965456007704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25697 (or 25650 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 38965456007704 in words is "thirty-eight trillion, nine hundred sixty-five billion, four hundred fifty-six million, seven thousand, seven hundred four".