3908916960 has 192 divisors, whose sum is σ = 13718134080. Its totient is φ = 928972800.

The previous prime is 3908916959. The next prime is 3908916967. The reversal of 3908916960 is 696198093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3908916967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170160 + ... + 191760.

It is an arithmetic number, because the mean of its divisors is an integer number (71448615).

Almost surely, 2^3908916960 is an apocalyptic number.

3908916960 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 3908916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859067040).

3908916960 is an abundant number, since it is smaller than the sum of its proper divisors (9809217120).

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

3908916960 is a wasteful number, since it uses less digits than its factorization.

3908916960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21661 (or 21653 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 3908916960 is about 62521.3320395527. The cubic root of 3908916960 is about 1575.2596477954.

The spelling of 3908916960 in words is "three billion, nine hundred eight million, nine hundred sixteen thousand, nine hundred sixty".