3901916928 has 288 divisors, whose sum is σ = 13200904192. Its totient is φ = 995328000.

The previous prime is 3901916861. The next prime is 3901916933. The reversal of 3901916928 is 8296191093.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2165628 + ... + 2167428.

Almost surely, 2^3901916928 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 3901916928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600452096).

3901916928 is an abundant number, since it is smaller than the sum of its proper divisors (9298987264).

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

3901916928 is a wasteful number, since it uses less digits than its factorization.

3901916928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 3901916928 is about 62465.3258056019. The cubic root of 3901916928 is about 1574.3187685302.

The spelling of 3901916928 in words is "three billion, nine hundred one million, nine hundred sixteen thousand, nine hundred twenty-eight".