3456338688 has 216 divisors, whose sum is σ = 11276306496. Its totient is φ = 1047168000.

The previous prime is 3456338681. The next prime is 3456338719. The reversal of 3456338688 is 8868336543.

3456338688 is a `hidden beast` number, since 3 + 456 + 33 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3456338688² = 23892554252331122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3456338681) 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 23 ways as a sum of consecutive naturals, for example, 681763 + ... + 686813.

Almost surely, 2^3456338688 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 3456338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638153248).

3456338688 is an abundant number, since it is smaller than the sum of its proper divisors (7819967808).

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

3456338688 is an equidigital number, since it uses as much as digits as its factorization.

3456338688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5067 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3456338688 is about 58790.6343561625. The cubic root of 3456338688 is about 1511.9546471657.

The spelling of 3456338688 in words is "three billion, four hundred fifty-six million, three hundred thirty-eight thousand, six hundred eighty-eight".