3443696256 has 768 divisors, whose sum is σ = 13467525120. Its totient is φ = 752025600.

The previous prime is 3443696209. The next prime is 3443696293. The reversal of 3443696256 is 6526963443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 111086961 + ... + 111086991.

It is an arithmetic number, because the mean of its divisors is an integer number (17535840).

Almost surely, 2^3443696256 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 3443696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733762560).

3443696256 is an abundant number, since it is smaller than the sum of its proper divisors (10023828864).

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

3443696256 is a wasteful number, since it uses less digits than its factorization.

3443696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 48.

The square root of 3443696256 is about 58683.0150554656. The cubic root of 3443696256 is about 1510.1089429169.

The spelling of 3443696256 in words is "three billion, four hundred forty-three million, six hundred ninety-six thousand, two hundred fifty-six".