3406507008 has 88 divisors (see below), whose sum is σ = 9136628928. Its totient is φ = 1128370176.

The previous prime is 3406507007. The next prime is 3406507033. The reversal of 3406507008 is 8007056043.

It is a super-2 number, since 2×3406507008² = 23208579991106224128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3406507008.

It is not an unprimeable number, because it can be changed into a prime (3406507003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497335 + ... + 504137.

Almost surely, 2^3406507008 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 3406507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568314464).

3406507008 is an abundant number, since it is smaller than the sum of its proper divisors (5730121920).

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

3406507008 is a wasteful number, since it uses less digits than its factorization.

3406507008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3406507008 is about 58365.2894107448. The cubic root of 3406507008 is about 1504.6532547754.

The spelling of 3406507008 in words is "three billion, four hundred six million, five hundred seven thousand, eight".