3660966864 has 180 divisors, whose sum is σ = 11100404484. Its totient is φ = 1122441216.

The previous prime is 3660966857. The next prime is 3660966877. The reversal of 3660966864 is 4686690663.

It can be written as a sum of positive squares in 2 ways, for example, as 3374680464 + 286286400 = 58092^2 + 16920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3660966864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5407294 + ... + 5407970.

Almost surely, 2^3660966864 is an apocalyptic number.

3660966864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660966864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550202242).

3660966864 is an abundant number, since it is smaller than the sum of its proper divisors (7439437620).

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

3660966864 is a wasteful number, since it uses less digits than its factorization.

3660966864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The square root of 3660966864 is about 60505.9242058164. The cubic root of 3660966864 is about 1541.2222354168. Note that the first 4 decimals are identical.

The spelling of 3660966864 in words is "three billion, six hundred sixty million, nine hundred sixty-six thousand, eight hundred sixty-four".