3659727121920 has 480 divisors, whose sum is σ = 13464777886560. Its totient is φ = 952117493760.

The previous prime is 3659727121913. The next prime is 3659727121931. The reversal of 3659727121920 is 291217279563.

3659727121920 is a `hidden beast` number, since 3 + 6 + 597 + 2 + 7 + 1 + 21 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25433536 + ... + 25577024.

It is an arithmetic number, because the mean of its divisors is an integer number (28051620597).

Almost surely, 2^{3659727121920} is an apocalyptic number.

3659727121920 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 3659727121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732388943280).

3659727121920 is an abundant number, since it is smaller than the sum of its proper divisors (9805050764640).

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

3659727121920 is an equidigital number, since it uses as much as digits as its factorization.

3659727121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143568 (or 143540 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 3659727121920 in words is "three trillion, six hundred fifty-nine billion, seven hundred twenty-seven million, one hundred twenty-one thousand, nine hundred twenty".