3643220306880 has 784 divisors, whose sum is σ = 16216820504064. Its totient is φ = 757029058560.

The previous prime is 3643220306849. The next prime is 3643220306911. The reversal of 3643220306880 is 886030223463.

3643220306880 is a `hidden beast` number, since 3 + 6 + 43 + 220 + 306 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3643220306849) and next prime (3643220306911).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17861149 + ... + 18063971.

Almost surely, 2^{3643220306880} is an apocalyptic number.

3643220306880 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 3643220306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108410252032).

3643220306880 is an abundant number, since it is smaller than the sum of its proper divisors (12573600197184).

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

3643220306880 is a wasteful number, since it uses less digits than its factorization.

3643220306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202876 (or 202851 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3643220306880 in words is "three trillion, six hundred forty-three billion, two hundred twenty million, three hundred six thousand, eight hundred eighty".