3456795456 has 168 divisors, whose sum is σ = 10199217600. Its totient is φ = 1118767104.

The previous prime is 3456795451. The next prime is 3456795469. The reversal of 3456795456 is 6545976543.

3456795456 is a `hidden beast` number, since 3 + 45 + 67 + 95 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456795451) 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, 5770645 + ... + 5771243.

Almost surely, 2^3456795456 is an apocalyptic number.

3456795456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099608800).

3456795456 is an abundant number, since it is smaller than the sum of its proper divisors (6742422144).

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

3456795456 is a wasteful number, since it uses less digits than its factorization.

3456795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The square root of 3456795456 is about 58794.5189282130. The cubic root of 3456795456 is about 1512.0212477068.

The spelling of 3456795456 in words is "three billion, four hundred fifty-six million, seven hundred ninety-five thousand, four hundred fifty-six".