3453368256 has 672 divisors, whose sum is σ = 12426086400. Its totient is φ = 940584960.

The previous prime is 3453368239. The next prime is 3453368257. The reversal of 3453368256 is 6528633543.

3453368256 is a `hidden beast` number, since 3 + 4 + 533 + 68 + 2 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3453368257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111398961 + ... + 111398991.

It is an arithmetic number, because the mean of its divisors is an integer number (18491200).

Almost surely, 2^3453368256 is an apocalyptic number.

3453368256 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 3453368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213043200).

3453368256 is an abundant number, since it is smaller than the sum of its proper divisors (8972718144).

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

3453368256 is a wasteful number, since it uses less digits than its factorization.

3453368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3453368256 is about 58765.3661266566. The cubic root of 3453368256 is about 1511.5213904667.

The spelling of 3453368256 in words is "three billion, four hundred fifty-three million, three hundred sixty-eight thousand, two hundred fifty-six".