3439729942560 has 240 divisors, whose sum is σ = 12275781903000. Its totient is φ = 906954706944.

The previous prime is 3439729942507. The next prime is 3439729942609. The reversal of 3439729942560 is 652499279343.

3439729942560 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 7 + 29 + 9 + 42 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3060722258064 + 379007684496 = 1749492^2 + 615636^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337635 + ... + 2644514.

Almost surely, 2^{3439729942560} is an apocalyptic number.

3439729942560 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 3439729942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137890951500).

3439729942560 is an abundant number, since it is smaller than the sum of its proper divisors (8836051960440).

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

3439729942560 is a wasteful number, since it uses less digits than its factorization.

3439729942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982265 (or 2982248 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 3439729942560 in words is "three trillion, four hundred thirty-nine billion, seven hundred twenty-nine million, nine hundred forty-two thousand, five hundred sixty".