349713000 has 576 divisors, whose sum is σ = 1505059920. Its totient is φ = 72576000.

The previous prime is 349712989. The next prime is 349713017. The reversal of 349713000 is 317943.

It can be written as a sum of positive squares in 8 ways, for example, as 34082244 + 315630756 = 5838^2 + 17766^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5732970 + ... + 5733030.

Almost surely, 2^349713000 is an apocalyptic number.

349713000 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 349713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752529960).

349713000 is an abundant number, since it is smaller than the sum of its proper divisors (1155346920).

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

349713000 is a wasteful number, since it uses less digits than its factorization.

349713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 349713000 is about 18700.6149631503. The cubic root of 349713000 is about 704.5371943660.

The spelling of 349713000 in words is "three hundred forty-nine million, seven hundred thirteen thousand".