37901664 has 72 divisors (see below), whose sum is σ = 108933552. Its totient is φ = 12499200.

The previous prime is 37901663. The next prime is 37901707. The reversal of 37901664 is 46610973.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×37901664² = 2873072267937792, which contains 22 as substring.

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 (37901663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28437 + ... + 29739.

It is an arithmetic number, because the mean of its divisors is an integer number (1512966).

Almost surely, 2^37901664 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 37901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54466776).

37901664 is an abundant number, since it is smaller than the sum of its proper divisors (71031888).

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

37901664 is a wasteful number, since it uses less digits than its factorization.

37901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 37901664 is about 6156.4327333286. The cubic root of 37901664 is about 335.9072873453.

The spelling of 37901664 in words is "thirty-seven million, nine hundred one thousand, six hundred sixty-four".