38401165282700 has 144 divisors (see below), whose sum is σ = 91607476746240. Its totient is φ = 13856714304000.

The previous prime is 38401165282691. The next prime is 38401165282721. The reversal of 38401165282700 is 728256110483.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76036616 + ... + 76539984.

It is an arithmetic number, because the mean of its divisors is an integer number (636163032960).

Almost surely, 2^{38401165282700} 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 38401165282700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45803738373120).

38401165282700 is an abundant number, since it is smaller than the sum of its proper divisors (53206311463540).

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

38401165282700 is a wasteful number, since it uses less digits than its factorization.

38401165282700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503928 (or 503921 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 38401165282700 in words is "thirty-eight trillion, four hundred one billion, one hundred sixty-five million, two hundred eighty-two thousand, seven hundred".