37864000 has 56 divisors (see below), whose sum is σ = 93790008. Its totient is φ = 15142400.

The previous prime is 37863997. The next prime is 37864007. The reversal of 37864000 is 46873.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 32444416 = 2328^2 + 5696^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37864000.

It is not an unprimeable number, because it can be changed into a prime (37864007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5634 + ... + 10366.

Almost surely, 2^37864000 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 37864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46895004).

37864000 is an abundant number, since it is smaller than the sum of its proper divisors (55926008).

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

37864000 is an equidigital number, since it uses as much as digits as its factorization.

37864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 37864000 is about 6153.3730587378. The cubic root of 37864000 is about 335.7959834797.

The spelling of 37864000 in words is "thirty-seven million, eight hundred sixty-four thousand".