3496393824 has 288 divisors, whose sum is σ = 11740329216. Its totient is φ = 903544320.

The previous prime is 3496393801. The next prime is 3496393871. The reversal of 3496393824 is 4283936943.

Its product of digits (3359232) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17748094 + ... + 17748290.

It is an arithmetic number, because the mean of its divisors is an integer number (40765032).

Almost surely, 2^3496393824 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 3496393824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870164608).

3496393824 is an abundant number, since it is smaller than the sum of its proper divisors (8243935392).

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

3496393824 is an equidigital number, since it uses as much as digits as its factorization.

3496393824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 220 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The square root of 3496393824 is about 59130.3122264715. The cubic root of 3496393824 is about 1517.7728555895.

The spelling of 3496393824 in words is "three billion, four hundred ninety-six million, three hundred ninety-three thousand, eight hundred twenty-four".