3494408320224 has 72 divisors (see below), whose sum is σ = 9937488178800. Its totient is φ = 1164771767808.

The previous prime is 3494408320159. The next prime is 3494408320231. The reversal of 3494408320224 is 4220238044943.

It is a happy number.

3494408320224 is a `hidden beast` number, since 3 + 494 + 40 + 83 + 20 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3494408320224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12359124 + ... + 12638700.

It is an arithmetic number, because the mean of its divisors is an integer number (138020669150).

Almost surely, 2^{3494408320224} is an apocalyptic number.

It is an amenable number.

3494408320224 is an abundant number, since it is smaller than the sum of its proper divisors (6443079858576).

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

3494408320224 is a wasteful number, since it uses less digits than its factorization.

3494408320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322992 (or 322981 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3494408320224 in words is "three trillion, four hundred ninety-four billion, four hundred eight million, three hundred twenty thousand, two hundred twenty-four".