3726564000 has 96 divisors (see below), whose sum is σ = 12208262976. Its totient is φ = 993747200.

The previous prime is 3726563969. The next prime is 3726564001. The reversal of 3726564000 is 4656273.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3726564001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143274 + ... + 167273.

It is an arithmetic number, because the mean of its divisors is an integer number (127169406).

Almost surely, 2^3726564000 is an apocalyptic number.

3726564000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3726564000 is an abundant number, since it is smaller than the sum of its proper divisors (8481698976).

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

3726564000 is a wasteful number, since it uses less digits than its factorization.

3726564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310575 (or 310557 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3726564000 is about 61045.5895212750. The cubic root of 3726564000 is about 1550.3729938286.

The spelling of 3726564000 in words is "three billion, seven hundred twenty-six million, five hundred sixty-four thousand".