3908812320 has 432 divisors, whose sum is σ = 16026087168. Its totient is φ = 864138240.

The previous prime is 3908812309. The next prime is 3908812321. The reversal of 3908812320 is 232188093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3908812321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186467 + ... + 2188253.

It is an arithmetic number, because the mean of its divisors is an integer number (37097424).

Almost surely, 2^3908812320 is an apocalyptic number.

3908812320 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 3908812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013043584).

3908812320 is an abundant number, since it is smaller than the sum of its proper divisors (12117274848).

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

3908812320 is a wasteful number, since it uses less digits than its factorization.

3908812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3908812320 is about 62520.4951995744. The cubic root of 3908812320 is about 1575.2455913323.

The spelling of 3908812320 in words is "three billion, nine hundred eight million, eight hundred twelve thousand, three hundred twenty".