38364291387600 has 120 divisors (see below), whose sum is σ = 130122649563840. Its totient is φ = 9628684892160.

The previous prime is 38364291387557. The next prime is 38364291387601. The reversal of 38364291387600 is 678319246383.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38364291387601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940280860 + ... + 940321659.

It is an arithmetic number, because the mean of its divisors is an integer number (1084355413032).

Almost surely, 2^{38364291387600} is an apocalyptic number.

38364291387600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38364291387600 is an abundant number, since it is smaller than the sum of its proper divisors (91758358176240).

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

38364291387600 is a wasteful number, since it uses less digits than its factorization.

38364291387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880602557 (or 1880602546 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 38364291387600 in words is "thirty-eight trillion, three hundred sixty-four billion, two hundred ninety-one million, three hundred eighty-seven thousand, six hundred".