3245792256 has 352 divisors, whose sum is σ = 11361013760. Its totient is φ = 895795200.

The previous prime is 3245792243. The next prime is 3245792261. The reversal of 3245792256 is 6522975423.

3245792256 is a `hidden beast` number, since 3 + 2 + 4 + 579 + 22 + 56 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5999346 + ... + 5999886.

Almost surely, 2^3245792256 is an apocalyptic number.

3245792256 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 3245792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680506880).

3245792256 is an abundant number, since it is smaller than the sum of its proper divisors (8115221504).

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

3245792256 is a wasteful number, since it uses less digits than its factorization.

3245792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3245792256 is about 56971.8549461047. The cubic root of 3245792256 is about 1480.6085055600.

The spelling of 3245792256 in words is "three billion, two hundred forty-five million, seven hundred ninety-two thousand, two hundred fifty-six".