3634579960 has 64 divisors (see below), whose sum is σ = 9028817280. Its totient is φ = 1305728640.

The previous prime is 3634579951. The next prime is 3634579999. The reversal of 3634579960 is 699754363.

3634579960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3634579898 and 3634579907.

It is a congruent number.

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, 13242 + ... + 86281.

It is an arithmetic number, because the mean of its divisors is an integer number (141075270).

Almost surely, 2^3634579960 is an apocalyptic number.

It is an amenable number.

3634579960 is an abundant number, since it is smaller than the sum of its proper divisors (5394237320).

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

3634579960 is a wasteful number, since it uses less digits than its factorization.

3634579960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99628 (or 99624 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The square root of 3634579960 is about 60287.4776383952. The cubic root of 3634579960 is about 1537.5104488240.

The spelling of 3634579960 in words is "three billion, six hundred thirty-four million, five hundred seventy-nine thousand, nine hundred sixty".