3660849360 has 240 divisors, whose sum is σ = 14877547776. Its totient is φ = 787525632.

The previous prime is 3660849359. The next prime is 3660849373. The reversal of 3660849360 is 639480663.

3660849360 is a `hidden beast` number, since 3 + 6 + 608 + 4 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3660849360² = 26803636073224819200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 64317 + ... + 107043.

Almost surely, 2^3660849360 is an apocalyptic number.

3660849360 is a gapful number since it is divisible by the number (30) 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 3660849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438773888).

3660849360 is an abundant number, since it is smaller than the sum of its proper divisors (11216698416).

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

3660849360 is a wasteful number, since it uses less digits than its factorization.

3660849360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42770 (or 42761 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3660849360 is about 60504.9531856690. The cubic root of 3660849360 is about 1541.2057459919.

The spelling of 3660849360 in words is "three billion, six hundred sixty million, eight hundred forty-nine thousand, three hundred sixty".