3664215360 has 896 divisors, whose sum is σ = 15669158400. Its totient is φ = 796262400.

The previous prime is 3664215349. The next prime is 3664215409. The reversal of 3664215360 is 635124663.

3664215360 is a `hidden beast` number, since 3 + 6 + 642 + 1 + 5 + 3 + 6 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 36279310 + ... + 36279410.

It is an arithmetic number, because the mean of its divisors is an integer number (17487900).

Almost surely, 2^3664215360 is an apocalyptic number.

3664215360 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 3664215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834579200).

3664215360 is an abundant number, since it is smaller than the sum of its proper divisors (12004943040).

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

3664215360 is a wasteful number, since it uses less digits than its factorization.

3664215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3664215360 is about 60532.7626992193. The cubic root of 3664215360 is about 1541.6779596673.

It can be divided in two parts, 3664 and 215360, that added together give a square (219024 = 468²).

The spelling of 3664215360 in words is "three billion, six hundred sixty-four million, two hundred fifteen thousand, three hundred sixty".