38731230720 has 1440 divisors, whose sum is σ = 175227624000. Its totient is φ = 7890075648.

The previous prime is 38731230701. The next prime is 38731230721. The reversal of 38731230720 is 2703213783.

38731230720 is a `hidden beast` number, since 38 + 7 + 312 + 307 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38731230721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1335559666 + ... + 1335559694.

It is an arithmetic number, because the mean of its divisors is an integer number (121685850).

Almost surely, 2^38731230720 is an apocalyptic number.

38731230720 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 38731230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613812000).

38731230720 is an abundant number, since it is smaller than the sum of its proper divisors (136496393280).

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

38731230720 is a wasteful number, since it uses less digits than its factorization.

38731230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 38731230720 in words is "thirty-eight billion, seven hundred thirty-one million, two hundred thirty thousand, seven hundred twenty".