349174328256 has 672 divisors, whose sum is σ = 1246025813760. Its totient is φ = 95778422784.

The previous prime is 349174328207. The next prime is 349174328257. The reversal of 349174328256 is 652823471943.

349174328256 is a `hidden beast` number, since 3 + 491 + 74 + 3 + 2 + 82 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349174328257) 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 95 ways as a sum of consecutive naturals, for example, 65300175 + ... + 65305521.

It is an arithmetic number, because the mean of its divisors is an integer number (1854205080).

Almost surely, 2^349174328256 is an apocalyptic number.

349174328256 is a gapful number since it is divisible by the number (36) 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 349174328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623012906880).

349174328256 is an abundant number, since it is smaller than the sum of its proper divisors (896851485504).

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

349174328256 is a wasteful number, since it uses less digits than its factorization.

349174328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5423 (or 5401 counting only the distinct ones).

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

The spelling of 349174328256 in words is "three hundred forty-nine billion, one hundred seventy-four million, three hundred twenty-eight thousand, two hundred fifty-six".