38368237208832 has 216 divisors, whose sum is σ = 116498813936960. Its totient is φ = 12110942085120.

The previous prime is 38368237208783. The next prime is 38368237208911. The reversal of 38368237208832 is 23880273286383.

38368237208832 is a `hidden beast` number, since 3 + 8 + 368 + 2 + 37 + 208 + 8 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38368237208832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99660933 + ... + 100045179.

Almost surely, 2^{38368237208832} is an apocalyptic number.

38368237208832 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 38368237208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58249406968480).

38368237208832 is an abundant number, since it is smaller than the sum of its proper divisors (78130576728128).

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

38368237208832 is a wasteful number, since it uses less digits than its factorization.

38368237208832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386569 (or 386552 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 38368237208832 in words is "thirty-eight trillion, three hundred sixty-eight billion, two hundred thirty-seven million, two hundred eight thousand, eight hundred thirty-two".