37640952 has 72 divisors (see below), whose sum is σ = 104827320. Its totient is φ = 12201600.

The previous prime is 37640929. The next prime is 37641001. The reversal of 37640952 is 25904673.

37640952 is a `hidden beast` number, since 3 + 7 + 640 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120877 + ... + 121187.

It is an arithmetic number, because the mean of its divisors is an integer number (1455935).

Almost surely, 2^37640952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37640952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52413660).

37640952 is an abundant number, since it is smaller than the sum of its proper divisors (67186368).

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

37640952 is a wasteful number, since it uses less digits than its factorization.

37640952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 37640952 is about 6135.2222453632. Note that the first 4 decimals coincide. The cubic root of 37640952 is about 335.1353192090.

It can be divided in two parts, 376 and 40952, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 37640952 in words is "thirty-seven million, six hundred forty thousand, nine hundred fifty-two".