38254307596992 has 672 divisors, whose sum is σ = 122014848883200. Its totient is φ = 11880248693760.

The previous prime is 38254307596991. The next prime is 38254307597021. The reversal of 38254307596992 is 29969570345283.

38254307596992 is a `hidden beast` number, since 3 + 8 + 2 + 543 + 0 + 75 + 9 + 6 + 9 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38254307596992.

It is not an unprimeable number, because it can be changed into a prime (38254307596991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6506938309 + ... + 6506944187.

It is an arithmetic number, because the mean of its divisors is an integer number (181569715600).

Almost surely, 2^{38254307596992} is an apocalyptic number.

38254307596992 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 38254307596992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61007424441600).

38254307596992 is an abundant number, since it is smaller than the sum of its proper divisors (83760541286208).

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

38254307596992 is an frugal number, since it uses more digits than its factorization.

38254307596992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 38254307596992 in words is "thirty-eight trillion, two hundred fifty-four billion, three hundred seven million, five hundred ninety-six thousand, nine hundred ninety-two".