349823100 has 216 divisors, whose sum is σ = 1163675520. Its totient is φ = 80924800.

The previous prime is 349823099. The next prime is 349823119. The reversal of 349823100 is 1328943.

It is a super-2 number, since 2×349823100² = 244752402587220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 834691 + ... + 835109.

Almost surely, 2^349823100 is an apocalyptic number.

349823100 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 349823100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581837760).

349823100 is an abundant number, since it is smaller than the sum of its proper divisors (813852420).

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

349823100 is a wasteful number, since it uses less digits than its factorization.

349823100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 349823100 is about 18703.5584849515. The cubic root of 349823100 is about 704.6111229933.

The spelling of 349823100 in words is "three hundred forty-nine million, eight hundred twenty-three thousand, one hundred".