38768357376 has 260 divisors, whose sum is σ = 132364856272. Its totient is φ = 11076009984.

The previous prime is 38768357297. The next prime is 38768357393. The reversal of 38768357376 is 67375386783.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2314086 + ... + 2330778.

Almost surely, 2^38768357376 is an apocalyptic number.

38768357376 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 38768357376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66182428136).

38768357376 is an abundant number, since it is smaller than the sum of its proper divisors (93596498896).

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

38768357376 is an equidigital number, since it uses as much as digits as its factorization.

38768357376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16736 (or 16705 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 38768357376 in words is "thirty-eight billion, seven hundred sixty-eight million, three hundred fifty-seven thousand, three hundred seventy-six".