349457506128 has 120 divisors (see below), whose sum is σ = 1036396244520. Its totient is φ = 109725880320.

The previous prime is 349457506127. The next prime is 349457506129. The reversal of 349457506128 is 821605754943.

It is a happy number.

349457506128 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 5 + 7 + 506 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (349457506127) and next prime (349457506129).

It can be written as a sum of positive squares in 4 ways, for example, as 76083292224 + 273374213904 = 275832^2 + 522852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349457506127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849301 + ... + 1191732.

It is an arithmetic number, because the mean of its divisors is an integer number (8636635371).

It is a 1-persistent number, because it is pandigital, but 2⋅349457506128 = 698915012256 is not.

Almost surely, 2^349457506128 is an apocalyptic number.

It is an amenable number.

349457506128 is an abundant number, since it is smaller than the sum of its proper divisors (686938738392).

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

349457506128 is a wasteful number, since it uses less digits than its factorization.

349457506128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041117 (or 2041108 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 349457506128 in words is "three hundred forty-nine billion, four hundred fifty-seven million, five hundred six thousand, one hundred twenty-eight".