349453824 has 160 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 109363200.

The previous prime is 349453817. The next prime is 349453859. The reversal of 349453824 is 428354943.

Its product of digits (414720) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1952167 + ... + 1952345.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^349453824 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 349453824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

349453824 is an abundant number, since it is smaller than the sum of its proper divisors (640482816).

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

349453824 is a wasteful number, since it uses less digits than its factorization.

349453824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 349453824 is about 18693.6840670853. The cubic root of 349453824 is about 704.3631046990.

The spelling of 349453824 in words is "three hundred forty-nine million, four hundred fifty-three thousand, eight hundred twenty-four".