349646289408 has 480 divisors, whose sum is σ = 1120690771200. Its totient is φ = 104261713920.

The previous prime is 349646289401. The next prime is 349646289431. The reversal of 349646289408 is 804982646943.

349646289408 is a `hidden beast` number, since 3 + 4 + 96 + 4 + 62 + 89 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (349646289401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383804473 + ... + 383805383.

It is an arithmetic number, because the mean of its divisors is an integer number (2334772440).

Almost surely, 2^349646289408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349646289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560345385600).

349646289408 is an abundant number, since it is smaller than the sum of its proper divisors (771044481792).

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

349646289408 is a wasteful number, since it uses less digits than its factorization.

349646289408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 349646289408 in words is "three hundred forty-nine billion, six hundred forty-six million, two hundred eighty-nine thousand, four hundred eight".