349923000 has 256 divisors, whose sum is σ = 1314892800. Its totient is φ = 75686400.

The previous prime is 349922999. The next prime is 349923029. The reversal of 349923000 is 329943.

It is a super-2 number, since 2×349923000² = 244892211858000000, 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 63 ways as a sum of consecutive naturals, for example, 398562 + ... + 399438.

It is an arithmetic number, because the mean of its divisors is an integer number (5136300).

Almost surely, 2^349923000 is an apocalyptic number.

349923000 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 349923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657446400).

349923000 is an abundant number, since it is smaller than the sum of its proper divisors (964969800).

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

349923000 is a wasteful number, since it uses less digits than its factorization.

349923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 349923000 is about 18706.2289091094. The cubic root of 349923000 is about 704.6781892254.

The spelling of 349923000 in words is "three hundred forty-nine million, nine hundred twenty-three thousand".