349356490560 has 448 divisors, whose sum is σ = 1536566538240. Its totient is φ = 72593418240.

The previous prime is 349356490531. The next prime is 349356490619. The reversal of 349356490560 is 65094653943.

349356490560 is a `hidden beast` number, since 3 + 4 + 9 + 35 + 6 + 49 + 0 + 560 = 666.

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

It is a super-2 number, since 2×349356490560² (a number of 24 digits) contains 22 as substring.

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 = 349356490497 and 349356490506.

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 63 ways as a sum of consecutive naturals, for example, 402717 + ... + 927843.

Almost surely, 2^349356490560 is an apocalyptic number.

349356490560 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 349356490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768283269120).

349356490560 is an abundant number, since it is smaller than the sum of its proper divisors (1187210047680).

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

349356490560 is a wasteful number, since it uses less digits than its factorization.

349356490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525171 (or 525155 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 349356490560 in words is "three hundred forty-nine billion, three hundred fifty-six million, four hundred ninety thousand, five hundred sixty".