349710336 has 72 divisors (see below), whose sum is σ = 1010080890. Its totient is φ = 116563968.

The previous prime is 349710329. The next prime is 349710337. The reversal of 349710336 is 633017943.

It can be written as a sum of positive squares in only one way, i.e., 315417600 + 34292736 = 17760^2 + 5856^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 349710336.

It is not an unprimeable number, because it can be changed into a prime (349710337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8946 + ... + 27918.

Almost surely, 2^349710336 is an apocalyptic number.

349710336 is a gapful number since it is divisible by the number (36) 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 349710336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505040445).

349710336 is an abundant number, since it is smaller than the sum of its proper divisors (660370554).

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

349710336 is a wasteful number, since it uses less digits than its factorization.

349710336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19001 (or 18978 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 349710336 is about 18700.5437354105. The cubic root of 349710336 is about 704.5354053830.

The spelling of 349710336 in words is "three hundred forty-nine million, seven hundred ten thousand, three hundred thirty-six".