3908111040 has 336 divisors, whose sum is σ = 13836700800. Its totient is φ = 1012137984.

The previous prime is 3908110993. The next prime is 3908111057. The reversal of 3908111040 is 401118093.

It is a junction number, because it is equal to n+sod(n) for n = 3908110995 and 3908111013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20249184 + ... + 20249376.

Almost surely, 2^3908111040 is an apocalyptic number.

3908111040 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 3908111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918350400).

3908111040 is an abundant number, since it is smaller than the sum of its proper divisors (9928589760).

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

3908111040 is a wasteful number, since it uses less digits than its factorization.

3908111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 3908111040 is about 62514.8865471257. The cubic root of 3908111040 is about 1575.1513807633.

The spelling of 3908111040 in words is "three billion, nine hundred eight million, one hundred eleven thousand, forty".