349725024 has 144 divisors (see below), whose sum is σ = 1096686864. Its totient is φ = 104832000.

The previous prime is 349724993. The next prime is 349725049. The reversal of 349725024 is 420527943.

349725024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 349725024.

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 23 ways as a sum of consecutive naturals, for example, 319422 + ... + 320514.

It is an arithmetic number, because the mean of its divisors is an integer number (7615881).

Almost surely, 2^349725024 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 349725024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548343432).

349725024 is an abundant number, since it is smaller than the sum of its proper divisors (746961840).

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

349725024 is a wasteful number, since it uses less digits than its factorization.

349725024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 349725024 is about 18700.9364471408. The cubic root of 349725024 is about 704.5452688520.

The spelling of 349725024 in words is "three hundred forty-nine million, seven hundred twenty-five thousand, twenty-four".