3901328640 has 432 divisors, whose sum is σ = 15600102336. Its totient is φ = 889651200.

The previous prime is 3901328603. The next prime is 3901328659. The reversal of 3901328640 is 468231093.

3901328640 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 3 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3901328595 and 3901328604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2153335 + ... + 2155145.

It is an arithmetic number, because the mean of its divisors is an integer number (36111348).

Almost surely, 2^3901328640 is an apocalyptic number.

3901328640 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 3901328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800051168).

3901328640 is an abundant number, since it is smaller than the sum of its proper divisors (11698773696).

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

3901328640 is a wasteful number, since it uses less digits than its factorization.

3901328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1849 counting only the distinct ones).

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

The square root of 3901328640 is about 62460.6167116528. The cubic root of 3901328640 is about 1574.2396450800.

The spelling of 3901328640 in words is "three billion, nine hundred one million, three hundred twenty-eight thousand, six hundred forty".