37863116928 has 840 divisors, whose sum is σ = 142864570845. Its totient is φ = 9985876992.

The previous prime is 37863116897. The next prime is 37863116953. The reversal of 37863116928 is 82961136873.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 32374085184 + 5489031744 = 179928^2 + 74088^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=137592.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2912547450 + ... + 2912547462.

Almost surely, 2^37863116928 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 37863116928

37863116928 is an abundant number, since it is smaller than the sum of its proper divisors (105001453917).

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

37863116928 is an frugal number, since it uses more digits than its factorization.

37863116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 37863116928 in words is "thirty-seven billion, eight hundred sixty-three million, one hundred sixteen thousand, nine hundred twenty-eight".