38372640640992 has 288 divisors, whose sum is σ = 125896254644160. Its totient is φ = 10859486330880.

The previous prime is 38372640640861. The next prime is 38372640641029. The reversal of 38372640640992 is 29904604627383.

38372640640992 is a `hidden beast` number, since 3 + 83 + 7 + 2 + 64 + 0 + 6 + 409 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 714800392 + ... + 714854072.

It is an arithmetic number, because the mean of its divisors is an integer number (437139773070).

Almost surely, 2^{38372640640992} is an apocalyptic number.

38372640640992 is a gapful number since it is divisible by the number (32) 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 38372640640992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62948127322080).

38372640640992 is an abundant number, since it is smaller than the sum of its proper divisors (87523614003168).

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

38372640640992 is a wasteful number, since it uses less digits than its factorization.

38372640640992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57066 (or 57055 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 38372640640992 in words is "thirty-eight trillion, three hundred seventy-two billion, six hundred forty million, six hundred forty thousand, nine hundred ninety-two".