349041994560 has 448 divisors, whose sum is σ = 1411321536000. Its totient is φ = 79550152704.

The previous prime is 349041994559. The next prime is 349041994579. The reversal of 349041994560 is 65499140943.

It is a happy number.

349041994560 is a `hidden beast` number, since 3 + 4 + 90 + 419 + 94 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 349041994497 and 349041994506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21341266 + ... + 21357614.

Almost surely, 2^349041994560 is an apocalyptic number.

349041994560 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 349041994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705660768000).

349041994560 is an abundant number, since it is smaller than the sum of its proper divisors (1062279541440).

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

349041994560 is a wasteful number, since it uses less digits than its factorization.

349041994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16735 (or 16719 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 349041994560 in words is "three hundred forty-nine billion, forty-one million, nine hundred ninety-four thousand, five hundred sixty".