37658074272 has 192 divisors, whose sum is σ = 124148908800. Its totient is φ = 9931686912.

The previous prime is 37658074261. The next prime is 37658074273. The reversal of 37658074272 is 27247085673.

It is not an unprimeable number, because it can be changed into a prime (37658074273) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 384078 + ... + 472050.

It is an arithmetic number, because the mean of its divisors is an integer number (646608900).

Almost surely, 2^37658074272 is an apocalyptic number.

37658074272 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 37658074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62074454400).

37658074272 is an abundant number, since it is smaller than the sum of its proper divisors (86490834528).

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

37658074272 is a wasteful number, since it uses less digits than its factorization.

37658074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88020 (or 87998 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 37658074272 in words is "thirty-seven billion, six hundred fifty-eight million, seventy-four thousand, two hundred seventy-two".