3726328320 has 960 divisors, whose sum is σ = 16174857600. Its totient is φ = 805109760.

The previous prime is 3726328303. The next prime is 3726328351. The reversal of 3726328320 is 238236273.

It is a happy number.

3726328320 is a `hidden beast` number, since 3 + 7 + 2 + 6 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128494066 + ... + 128494094.

It is an arithmetic number, because the mean of its divisors is an integer number (16848810).

Almost surely, 2^3726328320 is an apocalyptic number.

3726328320 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 3726328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087428800).

3726328320 is an abundant number, since it is smaller than the sum of its proper divisors (12448529280).

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

3726328320 is a wasteful number, since it uses less digits than its factorization.

3726328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3726328320 is about 61043.6591301668. The cubic root of 3726328320 is about 1550.3403095999.

The spelling of 3726328320 in words is "three billion, seven hundred twenty-six million, three hundred twenty-eight thousand, three hundred twenty".