37948087872 has 140 divisors (see below), whose sum is σ = 117381259776. Its totient is φ = 12099352320.

The previous prime is 37948087867. The next prime is 37948087883. The reversal of 37948087872 is 27878084973.

37948087872 is a `hidden beast` number, since 3 + 7 + 9 + 480 + 87 + 8 + 72 = 666.

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 19 ways as a sum of consecutive naturals, for example, 39904 + ... + 278367.

Almost surely, 2^37948087872 is an apocalyptic number.

37948087872 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 37948087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58690629888).

37948087872 is an abundant number, since it is smaller than the sum of its proper divisors (79433171904).

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

37948087872 is a wasteful number, since it uses less digits than its factorization.

37948087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318318 (or 318299 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 37948087872 in words is "thirty-seven billion, nine hundred forty-eight million, eighty-seven thousand, eight hundred seventy-two".