349775555328 has 108 divisors (see below), whose sum is σ = 1011084263280. Its totient is φ = 116291831808.

The previous prime is 349775555321. The next prime is 349775555347. The reversal of 349775555328 is 823555577943.

349775555328 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 7 + 55 + 553 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (349775555321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701125 + ... + 1091387.

Almost surely, 2^349775555328 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 349775555328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505542131640).

349775555328 is an abundant number, since it is smaller than the sum of its proper divisors (661308707952).

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

349775555328 is a wasteful number, since it uses less digits than its factorization.

349775555328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390674 (or 390657 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 63.

The spelling of 349775555328 in words is "three hundred forty-nine billion, seven hundred seventy-five million, five hundred fifty-five thousand, three hundred twenty-eight".