349669800 has 144 divisors (see below), whose sum is σ = 1189656000. Its totient is φ = 92027520.

The previous prime is 349669783. The next prime is 349669841. The reversal of 349669800 is 8966943.

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

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, 140971 + ... + 143429.

It is an arithmetic number, because the mean of its divisors is an integer number (8261500).

Almost surely, 2^349669800 is an apocalyptic number.

349669800 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 349669800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594828000).

349669800 is an abundant number, since it is smaller than the sum of its proper divisors (839986200).

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

349669800 is a wasteful number, since it uses less digits than its factorization.

349669800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 349669800 is about 18699.4598852480. The cubic root of 349669800 is about 704.5081827096.

The spelling of 349669800 in words is "three hundred forty-nine million, six hundred sixty-nine thousand, eight hundred".