349836288 has 88 divisors (see below), whose sum is σ = 938148288. Its totient is φ = 115900416.

The previous prime is 349836287. The next prime is 349836293. The reversal of 349836288 is 882638943.

It is a self number, because there is not a number n which added to its sum of digits gives 349836288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349836287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807720 + ... + 808152.

It is an arithmetic number, because the mean of its divisors is an integer number (10660776).

Almost surely, 2^349836288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349836288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469074144).

349836288 is an abundant number, since it is smaller than the sum of its proper divisors (588312000).

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

349836288 is a wasteful number, since it uses less digits than its factorization.

349836288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 701 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 349836288 is about 18703.9110348611. The cubic root of 349836288 is about 704.6199772730.

The spelling of 349836288 in words is "three hundred forty-nine million, eight hundred thirty-six thousand, two hundred eighty-eight".