3665758780320 has 576 divisors, whose sum is σ = 14571403289856. Its totient is φ = 767780536320.

The previous prime is 3665758780301. The next prime is 3665758780417. The reversal of 3665758780320 is 230878575663.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41845365 + ... + 41932875.

It is an arithmetic number, because the mean of its divisors is an integer number (25297575156).

Almost surely, 2^{3665758780320} is an apocalyptic number.

3665758780320 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 3665758780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285701644928).

3665758780320 is an abundant number, since it is smaller than the sum of its proper divisors (10905644509536).

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

3665758780320 is a wasteful number, since it uses less digits than its factorization.

3665758780320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87693 (or 87678 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 3665758780320 in words is "three trillion, six hundred sixty-five billion, seven hundred fifty-eight million, seven hundred eighty thousand, three hundred twenty".