38293626816 has 84 divisors (see below), whose sum is σ = 110167241184. Its totient is φ = 12717388800.

The previous prime is 38293626809. The next prime is 38293626829. The reversal of 38293626816 is 61862639283.

38293626816 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 3 + 626 + 8 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33436 + ... + 278756.

It is an arithmetic number, because the mean of its divisors is an integer number (1311514776).

Almost surely, 2^38293626816 is an apocalyptic number.

38293626816 is a gapful number since it is divisible by the number (36) 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 38293626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55083620592).

38293626816 is an abundant number, since it is smaller than the sum of its proper divisors (71873614368).

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

38293626816 is a wasteful number, since it uses less digits than its factorization.

38293626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245610 (or 245597 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 38293626816 in words is "thirty-eight billion, two hundred ninety-three million, six hundred twenty-six thousand, eight hundred sixteen".