3660642090 has 96 divisors (see below), whose sum is σ = 10999722240. Its totient is φ = 827304192.

The previous prime is 3660642071. The next prime is 3660642091. The reversal of 3660642090 is 902460663.

3660642090 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 642 + 0 + 9 + 0 = 666.

It is a super-2 number, since 2×3660642090² = 26800601022159136200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3660642091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23427 + ... + 88713.

It is an arithmetic number, because the mean of its divisors is an integer number (114580440).

Almost surely, 2^3660642090 is an apocalyptic number.

3660642090 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 3660642090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499861120).

3660642090 is an abundant number, since it is smaller than the sum of its proper divisors (7339080150).

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

3660642090 is a wasteful number, since it uses less digits than its factorization.

3660642090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65396 (or 65393 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3660642090 is about 60503.2403264486. The cubic root of 3660642090 is about 1541.1766587763.

The spelling of 3660642090 in words is "three billion, six hundred sixty million, six hundred forty-two thousand, ninety".