349632640 has 96 divisors (see below), whose sum is σ = 972391500. Its totient is φ = 119863296.

The previous prime is 349632629. The next prime is 349632649. The reversal of 349632640 is 46236943.

It can be written as a sum of positive squares in 2 ways, for example, as 339443776 + 10188864 = 18424^2 + 3192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 349632640.

It is not an unprimeable number, because it can be changed into a prime (349632649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25786 + ... + 36934.

Almost surely, 2^349632640 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 349632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486195750).

349632640 is an abundant number, since it is smaller than the sum of its proper divisors (622758860).

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

349632640 is a wasteful number, since it uses less digits than its factorization.

349632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 349632640 is about 18698.4662472621. The cubic root of 349632640 is about 704.4832254009.

The spelling of 349632640 in words is "three hundred forty-nine million, six hundred thirty-two thousand, six hundred forty".