3908416512 has 704 divisors, whose sum is σ = 14790279168. Its totient is φ = 884736000.

The previous prime is 3908416487. The next prime is 3908416513. The reversal of 3908416512 is 2156148093.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×3908416512² = 30551439262548492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3908416513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95327212 + ... + 95327252.

Almost surely, 2^3908416512 is an apocalyptic number.

3908416512 is a gapful number since it is divisible by the number (32) 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 3908416512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395139584).

3908416512 is an abundant number, since it is smaller than the sum of its proper divisors (10881862656).

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

3908416512 is a wasteful number, since it uses less digits than its factorization.

3908416512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3908416512 is about 62517.3296934538. The cubic root of 3908416512 is about 1575.1924195244.

The spelling of 3908416512 in words is "three billion, nine hundred eight million, four hundred sixteen thousand, five hundred twelve".