4008347904 has 144 divisors (see below), whose sum is σ = 11671894080. Its totient is φ = 1211105280.

The previous prime is 4008347891. The next prime is 4008347921. The reversal of 4008347904 is 4097438004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5212032 + ... + 5212800.

It is an arithmetic number, because the mean of its divisors is an integer number (81054820).

Almost surely, 2^4008347904 is an apocalyptic number.

4008347904 is a gapful number since it is divisible by the number (44) 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 4008347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835947040).

4008347904 is an abundant number, since it is smaller than the sum of its proper divisors (7663546176).

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

4008347904 is a wasteful number, since it uses less digits than its factorization.

4008347904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4008347904 is about 63311.5147820679. The cubic root of 4008347904 is about 1588.5045739485.

The spelling of 4008347904 in words is "four billion, eight million, three hundred forty-seven thousand, nine hundred four".