37379472 has 80 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 11183616.

The previous prime is 37379471. The next prime is 37379473. The reversal of 37379472 is 27497373.

It is an interprime number because it is at equal distance from previous prime (37379471) and next prime (37379473).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (37379471) 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, 22279 + ... + 23897.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^37379472 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 37379472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

37379472 is an abundant number, since it is smaller than the sum of its proper divisors (69488688).

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

37379472 is a wasteful number, since it uses less digits than its factorization.

37379472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its digits is 222264, while the sum is 42.

The square root of 37379472 is about 6113.8753667375. The cubic root of 37379472 is about 334.3574883192.

The spelling of 37379472 in words is "thirty-seven million, three hundred seventy-nine thousand, four hundred seventy-two".