3660057360 has 320 divisors, whose sum is σ = 12963456000. Its totient is φ = 948879360.

The previous prime is 3660057251. The next prime is 3660057361. The reversal of 3660057360 is 637500663.

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

It is not an unprimeable number, because it can be changed into a prime (3660057361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15186840 + ... + 15187080.

It is an arithmetic number, because the mean of its divisors is an integer number (40510800).

Almost surely, 2^3660057360 is an apocalyptic number.

3660057360 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 3660057360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728000).

3660057360 is an abundant number, since it is smaller than the sum of its proper divisors (9303398640).

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

3660057360 is a wasteful number, since it uses less digits than its factorization.

3660057360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3660057360 is about 60498.4079129360. The cubic root of 3660057360 is about 1541.0945948293.

The spelling of 3660057360 in words is "three billion, six hundred sixty million, fifty-seven thousand, three hundred sixty".