3512576664 has 192 divisors, whose sum is σ = 10561824000. Its totient is φ = 1090350720.

The previous prime is 3512576659. The next prime is 3512576671. The reversal of 3512576664 is 4666752153.

3512576664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252317 + ... + 2253875.

It is an arithmetic number, because the mean of its divisors is an integer number (55009500).

Almost surely, 2^3512576664 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 3512576664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280912000).

3512576664 is an abundant number, since it is smaller than the sum of its proper divisors (7049247336).

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

3512576664 is a wasteful number, since it uses less digits than its factorization.

3512576664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1644 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3512576664 is about 59266.9947272510. The cubic root of 3512576664 is about 1520.1108910326.

The spelling of 3512576664 in words is "three billion, five hundred twelve million, five hundred seventy-six thousand, six hundred sixty-four".