3503249904 has 480 divisors, whose sum is σ = 12180934656. Its totient is φ = 856880640.

The previous prime is 3503249839. The next prime is 3503249917. The reversal of 3503249904 is 4099423053.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52287279 + ... + 52287345.

Almost surely, 2^3503249904 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 3503249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090467328).

3503249904 is an abundant number, since it is smaller than the sum of its proper divisors (8677684752).

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

3503249904 is a wasteful number, since it uses less digits than its factorization.

3503249904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3503249904 is about 59188.2581598749. The cubic root of 3503249904 is about 1518.7642749729.

The spelling of 3503249904 in words is "three billion, five hundred three million, two hundred forty-nine thousand, nine hundred four".