37878960 has 120 divisors (see below), whose sum is σ = 136638576. Its totient is φ = 8655360.

The previous prime is 37878949. The next prime is 37878977. The reversal of 37878960 is 6987873.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×37878960² = 2869631221363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10150 + ... + 13370.

Almost surely, 2^37878960 is an apocalyptic number.

37878960 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 37878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68319288).

37878960 is an abundant number, since it is smaller than the sum of its proper divisors (98759616).

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

37878960 is a wasteful number, since it uses less digits than its factorization.

37878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 37878960 is about 6154.5885321441. The cubic root of 37878960 is about 335.8402017914.

The spelling of 37878960 in words is "thirty-seven million, eight hundred seventy-eight thousand, nine hundred sixty".