349346100 has 72 divisors (see below), whose sum is σ = 1014740608. Its totient is φ = 92793600.

The previous prime is 349346089. The next prime is 349346113. The reversal of 349346100 is 1643943.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79152 + ... + 83448.

Almost surely, 2^349346100 is an apocalyptic number.

349346100 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 349346100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507370304).

349346100 is an abundant number, since it is smaller than the sum of its proper divisors (665394508).

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

349346100 is a wasteful number, since it uses less digits than its factorization.

349346100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 349346100 is about 18690.8025509875. The cubic root of 349346100 is about 704.2907206872.

The spelling of 349346100 in words is "three hundred forty-nine million, three hundred forty-six thousand, one hundred".