3660680790 has 336 divisors, whose sum is σ = 11333640528. Its totient is φ = 845686656.

The previous prime is 3660680789. The next prime is 3660680861. The reversal of 3660680790 is 970860663.

3660680790 is a `hidden beast` number, since 36 + 606 + 8 + 0 + 7 + 9 + 0 = 666.

3660680790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34211917 + ... + 34212023.

It is an arithmetic number, because the mean of its divisors is an integer number (33731073).

Almost surely, 2^3660680790 is an apocalyptic number.

3660680790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3660680790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666820264).

3660680790 is an abundant number, since it is smaller than the sum of its proper divisors (7672959738).

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

3660680790 is a wasteful number, since it uses less digits than its factorization.

3660680790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3660680790 is about 60503.5601431850. The cubic root of 3660680790 is about 1541.1820898204.

The spelling of 3660680790 in words is "three billion, six hundred sixty million, six hundred eighty thousand, seven hundred ninety".