349142832 has 180 divisors, whose sum is σ = 1072479720. Its totient is φ = 108743040.

The previous prime is 349142777. The next prime is 349142851. The reversal of 349142832 is 238241943.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11262657 + ... + 11262687.

Almost surely, 2^349142832 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 349142832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536239860).

349142832 is an abundant number, since it is smaller than the sum of its proper divisors (723336888).

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

349142832 is a wasteful number, since it uses less digits than its factorization.

349142832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 65 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 349142832 is about 18685.3641120530. The cubic root of 349142832 is about 704.1540963471.

The spelling of 349142832 in words is "three hundred forty-nine million, one hundred forty-two thousand, eight hundred thirty-two".