348561664 has 72 divisors (see below), whose sum is σ = 777782880. Its totient is φ = 154521600.

The previous prime is 348561637. The next prime is 348561691. The reversal of 348561664 is 466165843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (348561637) and next prime (348561691).

It is a super-2 number, since 2×348561664² = 242990467220897792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348561664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113947 + ... + 116965.

It is an arithmetic number, because the mean of its divisors is an integer number (10802540).

Almost surely, 2^348561664 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 348561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388891440).

348561664 is an abundant number, since it is smaller than the sum of its proper divisors (429221216).

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

348561664 is a wasteful number, since it uses less digits than its factorization.

348561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3073 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 348561664 is about 18669.8062121705. The cubic root of 348561664 is about 703.7631779189.

The spelling of 348561664 in words is "three hundred forty-eight million, five hundred sixty-one thousand, six hundred sixty-four".