3726648000 has 504 divisors, whose sum is σ = 14037832224. Its totient is φ = 979776000.

The previous prime is 3726647941. The next prime is 3726648061. The reversal of 3726648000 is 8466273.

3726648000 is a `hidden beast` number, since 3 + 7 + 2 + 6 + 648 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 52487965 + ... + 52488035.

Almost surely, 2^3726648000 is an apocalyptic number.

3726648000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018916112).

3726648000 is an abundant number, since it is smaller than the sum of its proper divisors (10311184224).

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

3726648000 is an frugal number, since it uses more digits than its factorization.

3726648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3726648000 is about 61046.2775277903. The cubic root of 3726648000 is about 1550.3846426605.

The spelling of 3726648000 in words is "three billion, seven hundred twenty-six million, six hundred forty-eight thousand".