37009968 has 40 divisors (see below), whose sum is σ = 95827200. Its totient is φ = 12308544.

The previous prime is 37009963. The next prime is 37010011. The reversal of 37009968 is 86990073.

It is a happy number.

It is a super-2 number, since 2×37009968² = 2739475462722048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37009963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39813 + ... + 40731.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^37009968 is an apocalyptic number.

It is an amenable number.

37009968 is an abundant number, since it is smaller than the sum of its proper divisors (58817232).

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

37009968 is a wasteful number, since it uses less digits than its factorization.

37009968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 37009968 is about 6083.5818396731. The cubic root of 37009968 is about 333.2521064304.

The spelling of 37009968 in words is "thirty-seven million, nine thousand, nine hundred sixty-eight".