349493832 has 128 divisors (see below), whose sum is σ = 1024358400. Its totient is φ = 110189376.

The previous prime is 349493831. The next prime is 349493839. The reversal of 349493832 is 238394943.

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

It is not an unprimeable number, because it can be changed into a prime (349493831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511363 + ... + 512045.

It is an arithmetic number, because the mean of its divisors is an integer number (8002800).

Almost surely, 2^349493832 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 349493832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512179200).

349493832 is an abundant number, since it is smaller than the sum of its proper divisors (674864568).

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

349493832 is a wasteful number, since it uses less digits than its factorization.

349493832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 349493832 is about 18694.7541305041. The cubic root of 349493832 is about 704.3899838666.

It can be divided in two parts, 34949 and 3832, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 349493832 in words is "three hundred forty-nine million, four hundred ninety-three thousand, eight hundred thirty-two".