3424007808 has 256 divisors, whose sum is σ = 11525673600. Its totient is φ = 991346688.

The previous prime is 3424007801. The next prime is 3424007831. The reversal of 3424007808 is 8087004243.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (3424007801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761535 + ... + 766017.

Almost surely, 2^3424007808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762836800).

3424007808 is an abundant number, since it is smaller than the sum of its proper divisors (8101665792).

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

3424007808 is a wasteful number, since it uses less digits than its factorization.

3424007808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3424007808 is about 58515.0220712596. The cubic root of 3424007808 is about 1507.2255543560.

The spelling of 3424007808 in words is "three billion, four hundred twenty-four million, seven thousand, eight hundred eight".