37538448960 has 448 divisors, whose sum is σ = 128747520000. Its totient is φ = 9238634496.

The previous prime is 37538448931. The next prime is 37538448977. The reversal of 37538448960 is 6984483573.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 37538448960.

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 63 ways as a sum of consecutive naturals, for example, 157064521 + ... + 157064759.

Almost surely, 2^37538448960 is an apocalyptic number.

37538448960 is a gapful number since it is divisible by the number (30) 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 37538448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64373760000).

37538448960 is an abundant number, since it is smaller than the sum of its proper divisors (91209071040).

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

37538448960 is a wasteful number, since it uses less digits than its factorization.

37538448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 37538448960 in words is "thirty-seven billion, five hundred thirty-eight million, four hundred forty-eight thousand, nine hundred sixty".