3665355411564 has 1152 divisors, whose sum is σ = 12837968640000. Its totient is φ = 883470551040.

The previous prime is 3665355411521. The next prime is 3665355411607. The reversal of 3665355411564 is 4651145535663.

3665355411564 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 35 + 5 + 41 + 1 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (3665355411521) and next prime (3665355411607).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3665355411564.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10502450862 + ... + 10502451210.

It is an arithmetic number, because the mean of its divisors is an integer number (11144070000).

Almost surely, 2^{3665355411564} 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 3665355411564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418984320000).

3665355411564 is an abundant number, since it is smaller than the sum of its proper divisors (9172613228436).

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

3665355411564 is a wasteful number, since it uses less digits than its factorization.

3665355411564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 545 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 3665355411564 in words is "three trillion, six hundred sixty-five billion, three hundred fifty-five million, four hundred eleven thousand, five hundred sixty-four".