3659731431840 has 2304 divisors, whose sum is σ = 15720623493120. Its totient is φ = 767066112000.

The previous prime is 3659731431739. The next prime is 3659731431893. The reversal of 3659731431840 is 481341379563.

3659731431840 is a `hidden beast` number, since 3 + 6 + 5 + 9 + 7 + 314 + 318 + 4 + 0 = 666.

3659731431840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3659731431840³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89261742220 + ... + 89261742260.

It is an arithmetic number, because the mean of its divisors is an integer number (6823187280).

Almost surely, 2^{3659731431840} is an apocalyptic number.

3659731431840 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 3659731431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860311746560).

3659731431840 is an abundant number, since it is smaller than the sum of its proper divisors (12060892061280).

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

3659731431840 is a wasteful number, since it uses less digits than its factorization.

3659731431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3659731431840 in words is "three trillion, six hundred fifty-nine billion, seven hundred thirty-one million, four hundred thirty-one thousand, eight hundred forty".