3908623680 has 896 divisors, whose sum is σ = 16590873600. Its totient is φ = 856424448.

The previous prime is 3908623661. The next prime is 3908623687. The reversal of 3908623680 is 863268093.

3908623680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3908623687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43917076 + ... + 43917164.

It is an arithmetic number, because the mean of its divisors is an integer number (18516600).

Almost surely, 2^3908623680 is an apocalyptic number.

3908623680 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 3908623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8295436800).

3908623680 is an abundant number, since it is smaller than the sum of its proper divisors (12682249920).

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

3908623680 is a wasteful number, since it uses less digits than its factorization.

3908623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

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

The square root of 3908623680 is about 62518.9865560855. The cubic root of 3908623680 is about 1575.2202503776.

The spelling of 3908623680 in words is "three billion, nine hundred eight million, six hundred twenty-three thousand, six hundred eighty".