3659917561344 has 400 divisors, whose sum is σ = 12207691376496. Its totient is φ = 1082010009600.

The previous prime is 3659917561343. The next prime is 3659917561427. The reversal of 3659917561344 is 4431657199563.

3659917561344 is a `hidden beast` number, since 3 + 6 + 5 + 9 + 9 + 1 + 7 + 5 + 613 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659917561343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18606034 + ... + 18801710.

Almost surely, 2^{3659917561344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3659917561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103845688248).

3659917561344 is an abundant number, since it is smaller than the sum of its proper divisors (8547773815152).

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

3659917561344 is a wasteful number, since it uses less digits than its factorization.

3659917561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195759 (or 195734 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 3659917561344 in words is "three trillion, six hundred fifty-nine billion, nine hundred seventeen million, five hundred sixty-one thousand, three hundred forty-four".