3503896704 has 864 divisors, whose sum is σ = 14073368400. Its totient is φ = 862202880.

The previous prime is 3503896699. The next prime is 3503896733. The reversal of 3503896704 is 4076983053.

3503896704 is a `hidden beast` number, since 3 + 503 + 89 + 67 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3503896704² = 24554584224604127232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3503896704.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 184415607 + ... + 184415625.

Almost surely, 2^3503896704 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 3503896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036684200).

3503896704 is an abundant number, since it is smaller than the sum of its proper divisors (10569471696).

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

3503896704 is a wasteful number, since it uses less digits than its factorization.

3503896704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3503896704 is about 59193.7218292616. The cubic root of 3503896704 is about 1518.8577383104.

The spelling of 3503896704 in words is "three billion, five hundred three million, eight hundred ninety-six thousand, seven hundred four".