348449664 has 128 divisors (see below), whose sum is σ = 983606400. Its totient is φ = 108988416.

The previous prime is 348449639. The next prime is 348449669. The reversal of 348449664 is 466944843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348449669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189102 + ... + 1189394.

It is an arithmetic number, because the mean of its divisors is an integer number (7684425).

Almost surely, 2^348449664 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 348449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491803200).

348449664 is an abundant number, since it is smaller than the sum of its proper divisors (635156736).

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

348449664 is a wasteful number, since it uses less digits than its factorization.

348449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 348449664 is about 18666.8064756669. The cubic root of 348449664 is about 703.6877920041.

The spelling of 348449664 in words is "three hundred forty-eight million, four hundred forty-nine thousand, six hundred sixty-four".