3456903744 has 420 divisors, whose sum is σ = 12332939520. Its totient is φ = 953648640.

The previous prime is 3456903739. The next prime is 3456903761. The reversal of 3456903744 is 4473096543.

It is a self number, because there is not a number n which added to its sum of digits gives 3456903744.

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 59 ways as a sum of consecutive naturals, for example, 7874277 + ... + 7874715.

Almost surely, 2^3456903744 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 3456903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166469760).

3456903744 is an abundant number, since it is smaller than the sum of its proper divisors (8876035776).

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

3456903744 is a wasteful number, since it uses less digits than its factorization.

3456903744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3456903744 is about 58795.4398231700. The cubic root of 3456903744 is about 1512.0370361298.

The spelling of 3456903744 in words is "three billion, four hundred fifty-six million, nine hundred three thousand, seven hundred forty-four".