349123860 has 288 divisors, whose sum is σ = 1195084800. Its totient is φ = 82114560.

The previous prime is 349123847. The next prime is 349123867. The reversal of 349123860 is 68321943.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349123867) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3922696 + ... + 3922784.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2^349123860 is an apocalyptic number.

349123860 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 349123860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597542400).

349123860 is an abundant number, since it is smaller than the sum of its proper divisors (845960940).

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

349123860 is a wasteful number, since it uses less digits than its factorization.

349123860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 349123860 is about 18684.8564350920. The cubic root of 349123860 is about 704.1413418215.

The spelling of 349123860 in words is "three hundred forty-nine million, one hundred twenty-three thousand, eight hundred sixty".