37993152 has 56 divisors (see below), whose sum is σ = 100976176. Its totient is φ = 12607488.

The previous prime is 37993139. The next prime is 37993157. The reversal of 37993152 is 25139973.

It is a self number, because there is not a number n which added to its sum of digits gives 37993152.

It is not an unprimeable number, because it can be changed into a prime (37993157) 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 7 ways as a sum of consecutive naturals, for example, 82908 + ... + 83364.

It is an arithmetic number, because the mean of its divisors is an integer number (1803146).

Almost surely, 2^37993152 is an apocalyptic number.

37993152 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 37993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50488088).

37993152 is an abundant number, since it is smaller than the sum of its proper divisors (62983024).

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

37993152 is a wasteful number, since it uses less digits than its factorization.

37993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 37993152 is about 6163.8585317965. The cubic root of 37993152 is about 336.1773440214.

The spelling of 37993152 in words is "thirty-seven million, nine hundred ninety-three thousand, one hundred fifty-two".