38601845318400 has 2592 divisors, whose sum is σ = 170644171074048. Its totient is φ = 7598171750400.

The previous prime is 38601845318371. The next prime is 38601845318453. The reversal of 38601845318400 is 481354810683.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11533265527 + ... + 11533268873.

It is an arithmetic number, because the mean of its divisors is an integer number (65834942544).

Almost surely, 2^{38601845318400} is an apocalyptic number.

38601845318400 is a gapful number since it is divisible by the number (30) 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 38601845318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85322085537024).

38601845318400 is an abundant number, since it is smaller than the sum of its proper divisors (132042325755648).

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

38601845318400 is a wasteful number, since it uses less digits than its factorization.

38601845318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 38601845318400 in words is "thirty-eight trillion, six hundred one billion, eight hundred forty-five million, three hundred eighteen thousand, four hundred".