3333000008 has 96 divisors (see below), whose sum is σ = 7201814760. Its totient is φ = 1437204480.

The previous prime is 3332999977. The next prime is 3333000019. The reversal of 3333000008 is 8000003333.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2258340484 + 1074659524 = 47522^2 + 32782^2 .

It is a super-2 number, since 2×3333000008² = 22217778106656000128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5199368 + ... + 5200008.

Almost surely, 2^3333000008 is an apocalyptic number.

3333000008 is the 33332-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600907380).

3333000008 is an abundant number, since it is smaller than the sum of its proper divisors (3868814752).

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

3333000008 is a wasteful number, since it uses less digits than its factorization.

3333000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3333000008 is about 57732.1401647297. The cubic root of 3333000008 is about 1493.7517883349.

The spelling of 3333000008 in words is "three billion, three hundred thirty-three million, eight", and thus it is an aban number.