349939800 has 144 divisors (see below), whose sum is σ = 1343150640. Its totient is φ = 79983360.

The previous prime is 349939763. The next prime is 349939829. The reversal of 349939800 is 8939943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1287 + ... + 26486.

It is an arithmetic number, because the mean of its divisors is an integer number (9327435).

Almost surely, 2^349939800 is an apocalyptic number.

349939800 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 349939800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671575320).

349939800 is an abundant number, since it is smaller than the sum of its proper divisors (993210840).

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

349939800 is a wasteful number, since it uses less digits than its factorization.

349939800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27802 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 349939800 is about 18706.6779520042. The cubic root of 349939800 is about 704.6894663770.

The spelling of 349939800 in words is "three hundred forty-nine million, nine hundred thirty-nine thousand, eight hundred".