3660107256 has 256 divisors, whose sum is σ = 11902464000. Its totient is φ = 1032030720.

The previous prime is 3660107221. The next prime is 3660107263. The reversal of 3660107256 is 6527010663.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3660107256.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1652806 + ... + 1655018.

It is an arithmetic number, because the mean of its divisors is an integer number (46494000).

Almost surely, 2^3660107256 is an apocalyptic number.

3660107256 is a gapful number since it is divisible by the number (36) 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 3660107256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951232000).

3660107256 is an abundant number, since it is smaller than the sum of its proper divisors (8242356744).

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

3660107256 is a wasteful number, since it uses less digits than its factorization.

3660107256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3660107256 is about 60498.8202860188. The cubic root of 3660107256 is about 1541.1015978258.

The spelling of 3660107256 in words is "three billion, six hundred sixty million, one hundred seven thousand, two hundred fifty-six".