349128000 has 336 divisors, whose sum is σ = 1348563216. Its totient is φ = 85708800.

The previous prime is 349127927. The next prime is 349128007. The reversal of 349128000 is 821943.

It can be written as a sum of positive squares in 8 ways, for example, as 172344384 + 176783616 = 13128^2 + 13296^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349128007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935814 + ... + 936186.

It is an arithmetic number, because the mean of its divisors is an integer number (4013581).

Almost surely, 2^349128000 is an apocalyptic number.

349128000 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 349128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674281608).

349128000 is an abundant number, since it is smaller than the sum of its proper divisors (999435216).

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

349128000 is a wasteful number, since it uses less digits than its factorization.

349128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 349128000 is about 18684.9672196662. The cubic root of 349128000 is about 704.1441251066.

Adding to 349128000 its reverse (821943), we get a palindrome (349949943).

The spelling of 349128000 in words is "three hundred forty-nine million, one hundred twenty-eight thousand".