3507661664 has 48 divisors (see below), whose sum is σ = 7490543760. Its totient is φ = 1607247360.

The previous prime is 3507661657. The next prime is 3507661691. The reversal of 3507661664 is 4661667053.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 27494 + ... + 88154.

It is an arithmetic number, because the mean of its divisors is an integer number (156052995).

Almost surely, 2^3507661664 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 3507661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745271880).

3507661664 is an abundant number, since it is smaller than the sum of its proper divisors (3982882096).

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

3507661664 is a wasteful number, since it uses less digits than its factorization.

3507661664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60823 (or 60815 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The square root of 3507661664 is about 59225.5153122368. The cubic root of 3507661664 is about 1519.4015511154.

The spelling of 3507661664 in words is "three billion, five hundred seven million, six hundred sixty-one thousand, six hundred sixty-four".