349807352328 has 160 divisors (see below), whose sum is σ = 1143578937600. Its totient is φ = 97818409728.

The previous prime is 349807352303. The next prime is 349807352329. The reversal of 349807352328 is 823253708943.

349807352328 is a `hidden beast` number, since 3 + 4 + 98 + 0 + 7 + 3 + 523 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (349807352329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 607213 + ... + 1033596.

It is an arithmetic number, because the mean of its divisors is an integer number (7147368360).

Almost surely, 2^349807352328 is an apocalyptic number.

It is an amenable number.

349807352328 is an abundant number, since it is smaller than the sum of its proper divisors (793771585272).

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

349807352328 is a wasteful number, since it uses less digits than its factorization.

349807352328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640881 (or 1640868 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 349807352328 in words is "three hundred forty-nine billion, eight hundred seven million, three hundred fifty-two thousand, three hundred twenty-eight".