3426508008 has 288 divisors, whose sum is σ = 12095254080. Its totient is φ = 889574400.

The previous prime is 3426507991. The next prime is 3426508009. The reversal of 3426508008 is 8008056243.

3426508008 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 (36).

It is not an unprimeable number, because it can be changed into a prime (3426508009) 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, 1645528 + ... + 1647608.

It is an arithmetic number, because the mean of its divisors is an integer number (41997410).

Almost surely, 2^3426508008 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 3426508008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047627040).

3426508008 is an abundant number, since it is smaller than the sum of its proper divisors (8668746072).

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

3426508008 is a wasteful number, since it uses less digits than its factorization.

3426508008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3426508008 is about 58536.3819175733. The cubic root of 3426508008 is about 1507.5923222586.

The spelling of 3426508008 in words is "three billion, four hundred twenty-six million, five hundred eight thousand, eight".