3661566144 has 56 divisors (see below), whose sum is σ = 10109118720. Its totient is φ = 1167454464.

The previous prime is 3661566127. The next prime is 3661566149. The reversal of 3661566144 is 4416651663.

It is a junction number, because it is equal to n+sod(n) for n = 3661566096 and 3661566105.

It is not an unprimeable number, because it can be changed into a prime (3661566149) 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, 410164 + ... + 418995.

Almost surely, 2^3661566144 is an apocalyptic number.

It is an amenable number.

3661566144 is an abundant number, since it is smaller than the sum of its proper divisors (6447552576).

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

3661566144 is a wasteful number, since it uses less digits than its factorization.

3661566144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829197 (or 829187 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 3661566144 is about 60510.8762455147. The cubic root of 3661566144 is about 1541.3063273432.

The spelling of 3661566144 in words is "three billion, six hundred sixty-one million, five hundred sixty-six thousand, one hundred forty-four".