3503886768 has 80 divisors (see below), whose sum is σ = 10161259360. Its totient is φ = 1155907584.

The previous prime is 3503886733. The next prime is 3503886781. The reversal of 3503886768 is 8676883053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96 + ... + 83712.

It is an arithmetic number, because the mean of its divisors is an integer number (127015742).

Almost surely, 2^3503886768 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 3503886768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080629680).

3503886768 is an abundant number, since it is smaller than the sum of its proper divisors (6657372592).

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

3503886768 is a wasteful number, since it uses less digits than its factorization.

3503886768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83731 (or 83719 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3503886768 is about 59193.6379013826. The cubic root of 3503886768 is about 1518.8563026340.

The spelling of 3503886768 in words is "three billion, five hundred three million, eight hundred eighty-six thousand, seven hundred sixty-eight".