38080964376 has 256 divisors, whose sum is σ = 137850854400. Its totient is φ = 9452464128.

The previous prime is 38080964353. The next prime is 38080964413. The reversal of 38080964376 is 67346908083.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 277171 + ... + 391133.

It is an arithmetic number, because the mean of its divisors is an integer number (538479900).

Almost surely, 2^38080964376 is an apocalyptic number.

38080964376 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 38080964376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68925427200).

38080964376 is an abundant number, since it is smaller than the sum of its proper divisors (99769890024).

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

38080964376 is a wasteful number, since it uses less digits than its factorization.

38080964376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114015 (or 114005 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38080964376 in words is "thirty-eight billion, eighty million, nine hundred sixty-four thousand, three hundred seventy-six".