37983850128 has 640 divisors, whose sum is σ = 135488471040. Its totient is φ = 9958256640.

The previous prime is 37983850123. The next prime is 37983850141. The reversal of 37983850128 is 82105838973.

37983850128 is a `hidden beast` number, since 37 + 9 + 83 + 8 + 501 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (37983850123) 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 127 ways as a sum of consecutive naturals, for example, 163020700 + ... + 163020932.

It is an arithmetic number, because the mean of its divisors is an integer number (211700736).

Almost surely, 2^37983850128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37983850128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67744235520).

37983850128 is an abundant number, since it is smaller than the sum of its proper divisors (97504620912).

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

37983850128 is a wasteful number, since it uses less digits than its factorization.

37983850128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 37983850128 in words is "thirty-seven billion, nine hundred eighty-three million, eight hundred fifty thousand, one hundred twenty-eight".