38355183009792 has 816 divisors, whose sum is σ = 125513589600000. Its totient is φ = 11567180021760.

The previous prime is 38355183009677. The next prime is 38355183009863. The reversal of 38355183009792 is 29790038155383.

38355183009792 is a `hidden beast` number, since 3 + 8 + 3 + 551 + 8 + 3 + 0 + 0 + 9 + 79 + 2 = 666.

It is a super-2 number, since 2×38355183009792² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 76864093959 + ... + 76864094457.

Almost surely, 2^{38355183009792} is an apocalyptic number.

38355183009792 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 38355183009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62756794800000).

38355183009792 is an abundant number, since it is smaller than the sum of its proper divisors (87158406590208).

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

38355183009792 is an equidigital number, since it uses as much as digits as its factorization.

38355183009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 38355183009792 in words is "thirty-eight trillion, three hundred fifty-five billion, one hundred eighty-three million, nine thousand, seven hundred ninety-two".