3406544950368 has 96 divisors (see below), whose sum is σ = 10663966849536. Its totient is φ = 930981224448.

The previous prime is 3406544950307. The next prime is 3406544950373. The reversal of 3406544950368 is 8630594456043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110185921 + ... + 110216832.

It is an arithmetic number, because the mean of its divisors is an integer number (111082988016).

Almost surely, 2^{3406544950368} is an apocalyptic number.

It is an amenable number.

3406544950368 is an abundant number, since it is smaller than the sum of its proper divisors (7257421899168).

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

3406544950368 is a wasteful number, since it uses less digits than its factorization.

3406544950368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220402796 (or 220402788 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 3406544950368 in words is "three trillion, four hundred six billion, five hundred forty-four million, nine hundred fifty thousand, three hundred sixty-eight".