37952068 has 72 divisors (see below), whose sum is σ = 87333120. Its totient is φ = 14253120.

The previous prime is 37952053. The next prime is 37952071. The reversal of 37952068 is 86025973.

37952068 = 617² + 618² + ... + 703².

It is a self number, because there is not a number n which added to its sum of digits gives 37952068.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62221 + ... + 62827.

It is an arithmetic number, because the mean of its divisors is an integer number (1212960).

Almost surely, 2^37952068 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 37952068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43666560).

37952068 is an abundant number, since it is smaller than the sum of its proper divisors (49381052).

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

37952068 is a wasteful number, since it uses less digits than its factorization.

37952068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 37952068 is about 6160.5249776297. The cubic root of 37952068 is about 336.0561248837.

The spelling of 37952068 in words is "thirty-seven million, nine hundred fifty-two thousand, sixty-eight".