3410368754960 has 20 divisors (see below), whose sum is σ = 7929107355468. Its totient is φ = 1364147501952.

The previous prime is 3410368754939. The next prime is 3410368754983. The reversal of 3410368754960 is 694578630143.

It can be written as a sum of positive squares in 2 ways, for example, as 1821841259536 + 1588527495424 = 1349756^2 + 1260368^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 3410368754896 and 3410368754905.

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 3 ways as a sum of consecutive naturals, for example, 21314804639 + ... + 21314804798.

Almost surely, 2^{3410368754960} is an apocalyptic number.

It is an amenable number.

3410368754960 is an abundant number, since it is smaller than the sum of its proper divisors (4518738600508).

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

3410368754960 is a wasteful number, since it uses less digits than its factorization.

3410368754960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42629609450 (or 42629609444 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 3410368754960 in words is "three trillion, four hundred ten billion, three hundred sixty-eight million, seven hundred fifty-four thousand, nine hundred sixty".