3726326400 has 96 divisors (see below), whose sum is σ = 12273619200. Its totient is φ = 993684480.

The previous prime is 3726326399. The next prime is 3726326419. The reversal of 3726326400 is 46236273.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184480 + ... + 203679.

It is an arithmetic number, because the mean of its divisors is an integer number (127850200).

Almost surely, 2^3726326400 is an apocalyptic number.

3726326400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3726326400 is an abundant number, since it is smaller than the sum of its proper divisors (8547292800).

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

3726326400 is a wasteful number, since it uses less digits than its factorization.

3726326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388186 (or 388169 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 3726326400 is about 61043.6434037157. The cubic root of 3726326400 is about 1550.3400433276.

The spelling of 3726326400 in words is "three billion, seven hundred twenty-six million, three hundred twenty-six thousand, four hundred".