38892636855072 has 1728 divisors, whose sum is σ = 151538740254720. Its totient is φ = 9187308748800.

The previous prime is 38892636855049. The next prime is 38892636855091. The reversal of 38892636855072 is 27055863629883.

38892636855072 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 2 + 6 + 3 + 68 + 550 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 108336035629 + ... + 108336035987.

It is an arithmetic number, because the mean of its divisors is an integer number (87696030240).

Almost surely, 2^{38892636855072} is an apocalyptic number.

38892636855072 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 38892636855072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75769370127360).

38892636855072 is an abundant number, since it is smaller than the sum of its proper divisors (112646103399648).

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

38892636855072 is a wasteful number, since it uses less digits than its factorization.

38892636855072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 38892636855072 in words is "thirty-eight trillion, eight hundred ninety-two billion, six hundred thirty-six million, eight hundred fifty-five thousand, seventy-two".