37985952 has 24 divisors (see below), whose sum is σ = 99713376. Its totient is φ = 12661952.

The previous prime is 37985951. The next prime is 37985957. The reversal of 37985952 is 25958973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (37985951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197748 + ... + 197939.

It is an arithmetic number, because the mean of its divisors is an integer number (4154724).

Almost surely, 2^37985952 is an apocalyptic number.

37985952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37985952 is an abundant number, since it is smaller than the sum of its proper divisors (61727424).

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

37985952 is a wasteful number, since it uses less digits than its factorization.

37985952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395700 (or 395692 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The square root of 37985952 is about 6163.2744543789. The cubic root of 37985952 is about 336.1561065995.

The spelling of 37985952 in words is "thirty-seven million, nine hundred eighty-five thousand, nine hundred fifty-two".