37981078632 has 512 divisors, whose sum is σ = 131880960000. Its totient is φ = 9881948160.

The previous prime is 37981078621. The next prime is 37981078691. The reversal of 37981078632 is 23687018973.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180005007 + ... + 180005217.

It is an arithmetic number, because the mean of its divisors is an integer number (257580000).

Almost surely, 2^37981078632 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 37981078632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65940480000).

37981078632 is an abundant number, since it is smaller than the sum of its proper divisors (93899881368).

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

37981078632 is a wasteful number, since it uses less digits than its factorization.

37981078632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 37981078632 in words is "thirty-seven billion, nine hundred eighty-one million, seventy-eight thousand, six hundred thirty-two".