37430964 has 48 divisors (see below), whose sum is σ = 97843200. Its totient is φ = 12374208.

The previous prime is 37430963. The next prime is 37430971. The reversal of 37430964 is 46903473.

37430964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (37430963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12352 + ... + 15080.

It is an arithmetic number, because the mean of its divisors is an integer number (2038400).

Almost surely, 2^37430964 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 37430964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48921600).

37430964 is an abundant number, since it is smaller than the sum of its proper divisors (60412236).

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

37430964 is a wasteful number, since it uses less digits than its factorization.

37430964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 37430964 is about 6118.0849945060. The cubic root of 37430964 is about 334.5109489871.

The spelling of 37430964 in words is "thirty-seven million, four hundred thirty thousand, nine hundred sixty-four".