3928904947968 has 1728 divisors, whose sum is σ = 14737050316800. Its totient is φ = 920508825600.

The previous prime is 3928904947943. The next prime is 3928904948077. The reversal of 3928904947968 is 8697494098293.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 3928904947893 and 3928904947902.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34769070280 + ... + 34769070392.

It is an arithmetic number, because the mean of its divisors is an integer number (8528385600).

Almost surely, 2^{3928904947968} 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 3928904947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368525158400).

3928904947968 is an abundant number, since it is smaller than the sum of its proper divisors (10808145368832).

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

3928904947968 is a wasteful number, since it uses less digits than its factorization.

3928904947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 78.

The spelling of 3928904947968 in words is "three trillion, nine hundred twenty-eight billion, nine hundred four million, nine hundred forty-seven thousand, nine hundred sixty-eight".