3505755664 has 80 divisors (see below), whose sum is σ = 7261936000. Its totient is φ = 1634826240.

The previous prime is 3505755653. The next prime is 3505755707. The reversal of 3505755664 is 4665575053.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7985557 + ... + 7985995.

It is an arithmetic number, because the mean of its divisors is an integer number (90774200).

Almost surely, 2^3505755664 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 3505755664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630968000).

3505755664 is an abundant number, since it is smaller than the sum of its proper divisors (3756180336).

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

3505755664 is a wasteful number, since it uses less digits than its factorization.

3505755664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 46.

The square root of 3505755664 is about 59209.4220880427. The cubic root of 3505755664 is about 1519.1262961323.

The spelling of 3505755664 in words is "three billion, five hundred five million, seven hundred fifty-five thousand, six hundred sixty-four".