349504901280 has 432 divisors, whose sum is σ = 1296501189984. Its totient is φ = 85674516480.

The previous prime is 349504901269. The next prime is 349504901293. The reversal of 349504901280 is 82109405943.

349504901280 is a `hidden beast` number, since 3 + 49 + 504 + 90 + 12 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 17885115 + ... + 17904645.

It is an arithmetic number, because the mean of its divisors is an integer number (3001160162).

Almost surely, 2^349504901280 is an apocalyptic number.

349504901280 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 349504901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648250594992).

349504901280 is an abundant number, since it is smaller than the sum of its proper divisors (946996288704).

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

349504901280 is a wasteful number, since it uses less digits than its factorization.

349504901280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629 (or 19601 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 349504901280 in words is "three hundred forty-nine billion, five hundred four million, nine hundred one thousand, two hundred eighty".