37985976 has 192 divisors, whose sum is σ = 127360800. Its totient is φ = 10450944.

The previous prime is 37985971. The next prime is 37985989. The reversal of 37985976 is 67958973.

37985976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37985971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391560 + ... + 391656.

Almost surely, 2^37985976 is an apocalyptic number.

37985976 is a gapful number since it is divisible by the number (36) 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 37985976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63680400).

37985976 is an abundant number, since it is smaller than the sum of its proper divisors (89374824).

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

37985976 is a wasteful number, since it uses less digits than its factorization.

37985976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 37985976 is about 6163.2764013956. The cubic root of 37985976 is about 336.1561773954.

The spelling of 37985976 in words is "thirty-seven million, nine hundred eighty-five thousand, nine hundred seventy-six".