3667626560 has 56 divisors (see below), whose sum is σ = 9405356856. Its totient is φ = 1354199040.

The previous prime is 3667626559. The next prime is 3667626569. The reversal of 3667626560 is 656267663.

It can be written as a sum of positive squares in 4 ways, for example, as 2050624 + 3665575936 = 1432^2 + 60544^2 .

It is not an unprimeable number, because it can be changed into a prime (3667626569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436661 + ... + 444980.

It is an arithmetic number, because the mean of its divisors is an integer number (167952801).

Almost surely, 2^3667626560 is an apocalyptic number.

It is an amenable number.

3667626560 is an abundant number, since it is smaller than the sum of its proper divisors (5737730296).

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

3667626560 is a wasteful number, since it uses less digits than its factorization.

3667626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881671 (or 881661 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 47.

The square root of 3667626560 is about 60560.9326216167. The cubic root of 3667626560 is about 1542.1562194707.

It can be divided in two parts, 36676 and 26560, that added together give a palindrome (63236).

The spelling of 3667626560 in words is "three billion, six hundred sixty-seven million, six hundred twenty-six thousand, five hundred sixty".