37540368 has 80 divisors (see below), whose sum is σ = 109447360. Its totient is φ = 12317184.

The previous prime is 37540361. The next prime is 37540381. The reversal of 37540368 is 86304573.

It is a happy number.

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 (37540361) 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, 28296 + ... + 29592.

It is an arithmetic number, because the mean of its divisors is an integer number (1368092).

Almost surely, 2^37540368 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 37540368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54723680).

37540368 is an abundant number, since it is smaller than the sum of its proper divisors (71906992).

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

37540368 is a wasteful number, since it uses less digits than its factorization.

37540368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 37540368 is about 6127.0195038044. The cubic root of 37540368 is about 334.8365371669.

The spelling of 37540368 in words is "thirty-seven million, five hundred forty thousand, three hundred sixty-eight".