3665329030560 has 768 divisors, whose sum is σ = 12680848857600. Its totient is φ = 886908911616.

The previous prime is 3665329030537. The next prime is 3665329030609. The reversal of 3665329030560 is 650309235663.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3846095044 + ... + 3846095996.

It is an arithmetic number, because the mean of its divisors is an integer number (16511521950).

Almost surely, 2^{3665329030560} is an apocalyptic number.

3665329030560 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 3665329030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340424428800).

3665329030560 is an abundant number, since it is smaller than the sum of its proper divisors (9015519827040).

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

3665329030560 is a wasteful number, since it uses less digits than its factorization.

3665329030560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 48.

The spelling of 3665329030560 in words is "three trillion, six hundred sixty-five billion, three hundred twenty-nine million, thirty thousand, five hundred sixty".