3503405976 has 128 divisors (see below), whose sum is σ = 10612469760. Its totient is φ = 942451200.

The previous prime is 3503405959. The next prime is 3503406001. The reversal of 3503405976 is 6795043053.

3503405976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183606 + ... + 201786.

It is an arithmetic number, because the mean of its divisors is an integer number (82909920).

Almost surely, 2^3503405976 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 3503405976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306234880).

3503405976 is an abundant number, since it is smaller than the sum of its proper divisors (7109063784).

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

3503405976 is a wasteful number, since it uses less digits than its factorization.

3503405976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18265 (or 18261 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 3503405976 is about 59189.5765823679. The cubic root of 3503405976 is about 1518.7868286078.

The spelling of 3503405976 in words is "three billion, five hundred three million, four hundred five thousand, nine hundred seventy-six".