349985664 has 512 divisors, whose sum is σ = 1339545600. Its totient is φ = 87588864.

The previous prime is 349985663. The next prime is 349985683. The reversal of 349985664 is 466589943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 349985664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349985663) 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 63 ways as a sum of consecutive naturals, for example, 9459054 + ... + 9459090.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^349985664 is an apocalyptic number.

349985664 is a gapful number since it is divisible by the number (34) 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 349985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669772800).

349985664 is an abundant number, since it is smaller than the sum of its proper divisors (989559936).

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

349985664 is a wasteful number, since it uses less digits than its factorization.

349985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 349985664 is about 18707.9037842298. The cubic root of 349985664 is about 704.7202511632.

The spelling of 349985664 in words is "three hundred forty-nine million, nine hundred eighty-five thousand, six hundred sixty-four".