3368810368 has 288 divisors, whose sum is σ = 9000769680. Its totient is φ = 1248952320.

The previous prime is 3368810359. The next prime is 3368810413. The reversal of 3368810368 is 8630188633.

3368810368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3368810368² = 22697766591088590848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17454880 + ... + 17455072.

Almost surely, 2^3368810368 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 3368810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500384840).

3368810368 is an abundant number, since it is smaller than the sum of its proper divisors (5631959312).

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

3368810368 is a wasteful number, since it uses less digits than its factorization.

3368810368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 3368810368 is about 58041.4538756568. The cubic root of 3368810368 is about 1499.0824563383.

The spelling of 3368810368 in words is "three billion, three hundred sixty-eight million, eight hundred ten thousand, three hundred sixty-eight".