348570240 has 128 divisors (see below), whose sum is σ = 1127157120. Its totient is φ = 91607040.

The previous prime is 348570239. The next prime is 348570253. The reversal of 348570240 is 42075843.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135042 + ... + 137598.

It is an arithmetic number, because the mean of its divisors is an integer number (8805915).

Almost surely, 2^348570240 is an apocalyptic number.

348570240 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 348570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563578560).

348570240 is an abundant number, since it is smaller than the sum of its proper divisors (778586880).

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

348570240 is a wasteful number, since it uses less digits than its factorization.

348570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 348570240 is about 18670.0358864144. The cubic root of 348570240 is about 703.7689496605.

The spelling of 348570240 in words is "three hundred forty-eight million, five hundred seventy thousand, two hundred forty".