37880472960 has 896 divisors, whose sum is σ = 151790418720. Its totient is φ = 9032601600.

The previous prime is 37880472947. The next prime is 37880472967. The reversal of 37880472960 is 6927408873.

37880472960 is a `hidden beast` number, since 3 + 7 + 8 + 80 + 472 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 37880472897 and 37880472906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37880472967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 620991330 + ... + 620991390.

Almost surely, 2^37880472960 is an apocalyptic number.

37880472960 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 37880472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75895209360).

37880472960 is an abundant number, since it is smaller than the sum of its proper divisors (113909945760).

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

37880472960 is an frugal number, since it uses more digits than its factorization.

37880472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 37880472960 in words is "thirty-seven billion, eight hundred eighty million, four hundred seventy-two thousand, nine hundred sixty".