349431000 has 128 divisors (see below), whose sum is σ = 1096804800. Its totient is φ = 92620800.

The previous prime is 349430969. The next prime is 349431011. The reversal of 349431000 is 134943.

It is a super-2 number, since 2×349431000² = 244204047522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806784 + ... + 807216.

Almost surely, 2^349431000 is an apocalyptic number.

349431000 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 349431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548402400).

349431000 is an abundant number, since it is smaller than the sum of its proper divisors (747373800).

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

349431000 is a wasteful number, since it uses less digits than its factorization.

349431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 349431000 is about 18693.0735835496. The cubic root of 349431000 is about 704.3477695937.

Adding to 349431000 its reverse (134943), we get a palindrome (349565943).

The spelling of 349431000 in words is "three hundred forty-nine million, four hundred thirty-one thousand".