3901328064 has 280 divisors, whose sum is σ = 12298517440. Its totient is φ = 1224440064.

The previous prime is 3901328047. The next prime is 3901328071. The reversal of 3901328064 is 4608231093.

3901328064 is a `hidden beast` number, since 390 + 132 + 80 + 64 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23934447 + ... + 23934609.

Almost surely, 2^3901328064 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 3901328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149258720).

3901328064 is an abundant number, since it is smaller than the sum of its proper divisors (8397189376).

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

3901328064 is an frugal number, since it uses more digits than its factorization.

3901328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3901328064 is about 62460.6121007471. The cubic root of 3901328064 is about 1574.2395676054.

The spelling of 3901328064 in words is "three billion, nine hundred one million, three hundred twenty-eight thousand, sixty-four".