349369580560 has 480 divisors, whose sum is σ = 1113210000000. Its totient is φ = 100236165120.

The previous prime is 349369580519. The next prime is 349369580591. The reversal of 349369580560 is 65085963943.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 349369580495 and 349369580504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279718816 + ... + 279720064.

It is an arithmetic number, because the mean of its divisors is an integer number (2319187500).

Almost surely, 2^349369580560 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 349369580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556605000000).

349369580560 is an abundant number, since it is smaller than the sum of its proper divisors (763840419440).

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

349369580560 is a wasteful number, since it uses less digits than its factorization.

349369580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 58.

It can be divided in two parts, 349369 and 580560, that added together give a palindrome (929929).

The spelling of 349369580560 in words is "three hundred forty-nine billion, three hundred sixty-nine million, five hundred eighty thousand, five hundred sixty".