3659421841920 has 720 divisors, whose sum is σ = 13762377588960. Its totient is φ = 898230288384.

The previous prime is 3659421841897. The next prime is 3659421841951. The reversal of 3659421841920 is 291481249563.

It is a happy number.

3659421841920 is a `hidden beast` number, since 3 + 6 + 5 + 9 + 4 + 218 + 419 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1631484319 + ... + 1631486561.

It is an arithmetic number, because the mean of its divisors is an integer number (19114413318).

Almost surely, 2^{3659421841920} is an apocalyptic number.

3659421841920 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 3659421841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881188794480).

3659421841920 is an abundant number, since it is smaller than the sum of its proper divisors (10102955747040).

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

3659421841920 is a wasteful number, since it uses less digits than its factorization.

3659421841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3659421841920 in words is "three trillion, six hundred fifty-nine billion, four hundred twenty-one million, eight hundred forty-one thousand, nine hundred twenty".