37485952 has 128 divisors (see below), whose sum is σ = 95178240. Its totient is φ = 14327808.

The previous prime is 37485919. The next prime is 37485977. The reversal of 37485952 is 25958473.

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

Its product of digits (302400) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 37485899 and 37485908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350283 + ... + 350389.

It is an arithmetic number, because the mean of its divisors is an integer number (743580).

Almost surely, 2^37485952 is an apocalyptic number.

37485952 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 37485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47589120).

37485952 is an abundant number, since it is smaller than the sum of its proper divisors (57692288).

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

37485952 is a wasteful number, since it uses less digits than its factorization.

37485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 37485952 is about 6122.5772351192. The cubic root of 37485952 is about 334.6746734027.

The spelling of 37485952 in words is "thirty-seven million, four hundred eighty-five thousand, nine hundred fifty-two".