348608640 has 128 divisors (see below), whose sum is σ = 1147230720. Its totient is φ = 89948160.

The previous prime is 348608581. The next prime is 348608641. The reversal of 348608640 is 46806843.

348608640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (348608641) 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 15 ways as a sum of consecutive naturals, for example, 56592 + ... + 62448.

It is an arithmetic number, because the mean of its divisors is an integer number (8962740).

Almost surely, 2^348608640 is an apocalyptic number.

348608640 is a gapful number since it is divisible by the number (30) 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 348608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573615360).

348608640 is an abundant number, since it is smaller than the sum of its proper divisors (798622080).

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

348608640 is a wasteful number, since it uses less digits than its factorization.

348608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 348608640 is about 18671.0642439043. The cubic root of 348608640 is about 703.7947921185.

The spelling of 348608640 in words is "three hundred forty-eight million, six hundred eight thousand, six hundred forty".