37884052914240 has 224 divisors, whose sum is σ = 133712847184896. Its totient is φ = 9024488939520.

The previous prime is 37884052914139. The next prime is 37884052914319. The reversal of 37884052914240 is 4241925048873.

37884052914240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 48574107 + ... + 49347866.

It is an arithmetic number, because the mean of its divisors is an integer number (596932353504).

Almost surely, 2^{37884052914240} is an apocalyptic number.

37884052914240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37884052914240 is an abundant number, since it is smaller than the sum of its proper divisors (95828794270656).

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

37884052914240 is a wasteful number, since it uses less digits than its factorization.

37884052914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97922037 (or 97922027 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 37884052914240 in words is "thirty-seven trillion, eight hundred eighty-four billion, fifty-two million, nine hundred fourteen thousand, two hundred forty".