3456802368 has 84 divisors (see below), whose sum is σ = 10033853440. Its totient is φ = 1137666816.

The previous prime is 3456802337. The next prime is 3456802399. The reversal of 3456802368 is 8632086543.

It is a happy number.

3456802368 is a `hidden beast` number, since 3 + 4 + 568 + 0 + 23 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3456802337) and next prime (3456802399).

It is a super-2 number, since 2×3456802368² = 23898965222820814848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7521 + ... + 83487.

Almost surely, 2^3456802368 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 3456802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016926720).

3456802368 is an abundant number, since it is smaller than the sum of its proper divisors (6577051072).

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

3456802368 is a wasteful number, since it uses less digits than its factorization.

3456802368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76064 (or 76051 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3456802368 is about 58794.5777091731. The cubic root of 3456802368 is about 1512.0222554883.

The spelling of 3456802368 in words is "three billion, four hundred fifty-six million, eight hundred two thousand, three hundred sixty-eight".