349068840 has 128 divisors (see below), whose sum is σ = 1090108800. Its totient is φ = 89349120.

The previous prime is 349068823. The next prime is 349068877. The reversal of 349068840 is 48860943.

It is a junction number, because it is equal to n+sod(n) for n = 349068792 and 349068801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314206 + ... + 315314.

It is an arithmetic number, because the mean of its divisors is an integer number (8516475).

Almost surely, 2^349068840 is an apocalyptic number.

349068840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545054400).

349068840 is an abundant number, since it is smaller than the sum of its proper divisors (741039960).

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

349068840 is a wasteful number, since it uses less digits than its factorization.

349068840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 349068840 is about 18683.3840617807. The cubic root of 349068840 is about 704.1043502775.

The spelling of 349068840 in words is "three hundred forty-nine million, sixty-eight thousand, eight hundred forty".