38120893776 has 240 divisors, whose sum is σ = 125008665600. Its totient is φ = 10839709440.

The previous prime is 38120893771. The next prime is 38120893801. The reversal of 38120893776 is 67739802183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38120893771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11012686 + ... + 11016146.

It is an arithmetic number, because the mean of its divisors is an integer number (520869440).

Almost surely, 2^38120893776 is an apocalyptic number.

38120893776 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 38120893776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62504332800).

38120893776 is an abundant number, since it is smaller than the sum of its proper divisors (86887771824).

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

38120893776 is a wasteful number, since it uses less digits than its factorization.

38120893776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 38120893776 in words is "thirty-eight billion, one hundred twenty million, eight hundred ninety-three thousand, seven hundred seventy-six".