37978752 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 10644480.

The previous prime is 37978747. The next prime is 37978763. The reversal of 37978752 is 25787973.

It is a tau number, because it is divible by the number of its divisors (128).

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

Its product of digits (740880) is a multiple of the sum of its prime factors (294).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190749 + ... + 190947.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^37978752 is an apocalyptic number.

37978752 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 37978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

37978752 is an abundant number, since it is smaller than the sum of its proper divisors (79525248).

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

37978752 is a wasteful number, since it uses less digits than its factorization.

37978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 37978752 is about 6162.6903216047. The cubic root of 37978752 is about 336.1348664938.

The spelling of 37978752 in words is "thirty-seven million, nine hundred seventy-eight thousand, seven hundred fifty-two".