349721736 has 128 divisors (see below), whose sum is σ = 1099284480. Its totient is φ = 90245376.

The previous prime is 349721731. The next prime is 349721761. The reversal of 349721736 is 637127943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (349721731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100945 + ... + 104351.

It is an arithmetic number, because the mean of its divisors is an integer number (8588160).

Almost surely, 2^349721736 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 349721736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549642240).

349721736 is an abundant number, since it is smaller than the sum of its proper divisors (749562744).

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

349721736 is a wasteful number, since it uses less digits than its factorization.

349721736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3479 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 349721736 is about 18700.8485368980. The cubic root of 349721736 is about 704.5430608772.

The spelling of 349721736 in words is "three hundred forty-nine million, seven hundred twenty-one thousand, seven hundred thirty-six".