349526144 has 32 divisors (see below), whose sum is σ = 759626640. Its totient is φ = 158874880.

The previous prime is 349526131. The next prime is 349526159. The reversal of 349526144 is 441625943.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 349526098 and 349526107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122714 + ... + 125529.

Almost surely, 2^349526144 is an apocalyptic number.

It is an amenable number.

349526144 is an abundant number, since it is smaller than the sum of its proper divisors (410100496).

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

349526144 is a wasteful number, since it uses less digits than its factorization.

349526144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248268 (or 248256 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 349526144 is about 18695.6183101817. The cubic root of 349526144 is about 704.4116910191.

The spelling of 349526144 in words is "three hundred forty-nine million, five hundred twenty-six thousand, one hundred forty-four".