37990877568 has 768 divisors, whose sum is σ = 134307072000. Its totient is φ = 9472425984.

The previous prime is 37990877567. The next prime is 37990877597. The reversal of 37990877568 is 86577809973.

It is a super-3 number, since 3×37990877568³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37990877563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808316521 + ... + 808316567.

It is an arithmetic number, because the mean of its divisors is an integer number (174879000).

Almost surely, 2^37990877568 is an apocalyptic number.

37990877568 is a gapful number since it is divisible by the number (38) 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 37990877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67153536000).

37990877568 is an abundant number, since it is smaller than the sum of its proper divisors (96316194432).

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

37990877568 is a wasteful number, since it uses less digits than its factorization.

37990877568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 69.

The spelling of 37990877568 in words is "thirty-seven billion, nine hundred ninety million, eight hundred seventy-seven thousand, five hundred sixty-eight".