37981008 has 80 divisors (see below), whose sum is σ = 117423040. Its totient is φ = 11684736.

The previous prime is 37981007. The next prime is 37981033. The reversal of 37981008 is 80018973.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37981003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (1467788).

Almost surely, 2^37981008 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 37981008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58711520).

37981008 is an abundant number, since it is smaller than the sum of its proper divisors (79442032).

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

37981008 is a wasteful number, since it uses less digits than its factorization.

37981008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 37981008 is about 6162.8733558301. The cubic root of 37981008 is about 336.1415220157.

The spelling of 37981008 in words is "thirty-seven million, nine hundred eighty-one thousand, eight".