3908424960 has 720 divisors, whose sum is σ = 16026595200. Its totient is φ = 900218880.

The previous prime is 3908424941. The next prime is 3908424973. The reversal of 3908424960 is 694248093.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26230966 + ... + 26231114.

It is an arithmetic number, because the mean of its divisors is an integer number (22259160).

Almost surely, 2^3908424960 is an apocalyptic number.

3908424960 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 3908424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013297600).

3908424960 is an abundant number, since it is smaller than the sum of its proper divisors (12118170240).

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

3908424960 is a wasteful number, since it uses less digits than its factorization.

3908424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3908424960 is about 62517.3972586831. The cubic root of 3908424960 is about 1575.1935544441.

The spelling of 3908424960 in words is "three billion, nine hundred eight million, four hundred twenty-four thousand, nine hundred sixty".