349253737560 has 384 divisors, whose sum is σ = 1398716242560. Its totient is φ = 73598976000.

The previous prime is 349253737531. The next prime is 349253737571. The reversal of 349253737560 is 65737352943.

349253737560 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 5 + 3 + 73 + 7 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 349253737497 and 349253737506.

It is a congruent number.

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, 28855510 + ... + 28867610.

It is an arithmetic number, because the mean of its divisors is an integer number (3642490215).

Almost surely, 2^349253737560 is an apocalyptic number.

349253737560 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 349253737560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699358121280).

349253737560 is an abundant number, since it is smaller than the sum of its proper divisors (1049462505000).

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

349253737560 is a wasteful number, since it uses less digits than its factorization.

349253737560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13019 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 349253737560 in words is "three hundred forty-nine billion, two hundred fifty-three million, seven hundred thirty-seven thousand, five hundred sixty".