3665260368 has 630 divisors, whose sum is σ = 13870819242. Its totient is φ = 934053120.

The previous prime is 3665260351. The next prime is 3665260369. The reversal of 3665260368 is 8630625663.

3665260368 is a `hidden beast` number, since 3 + 66 + 526 + 0 + 3 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3388636944 + 276623424 = 58212^2 + 16632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665260369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 69155830 + ... + 69155882.

Almost surely, 2^3665260368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3665260368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935409621).

3665260368 is an abundant number, since it is smaller than the sum of its proper divisors (10205558874).

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

3665260368 is a wasteful number, since it uses less digits than its factorization.

3665260368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3665260368 is about 60541.3938392568. The cubic root of 3665260368 is about 1541.8245042444.

It can be divided in two parts, 36652 and 60368, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 3665260368 in words is "three billion, six hundred sixty-five million, two hundred sixty thousand, three hundred sixty-eight".