349840524 has 72 divisors (see below), whose sum is σ = 900910080. Its totient is φ = 105580640.

The previous prime is 349840523. The next prime is 349840529. The reversal of 349840524 is 425048943.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349840523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695257 + ... + 695759.

It is an arithmetic number, because the mean of its divisors is an integer number (12512640).

Almost surely, 2^349840524 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 349840524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450455040).

349840524 is an abundant number, since it is smaller than the sum of its proper divisors (551069556).

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

349840524 is a wasteful number, since it uses less digits than its factorization.

349840524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 349840524 is about 18704.0242728671. The cubic root of 349840524 is about 704.6228212301.

The spelling of 349840524 in words is "three hundred forty-nine million, eight hundred forty thousand, five hundred twenty-four".