348288040 has 64 divisors (see below), whose sum is σ = 800730000. Its totient is φ = 136304640.

The previous prime is 348288029. The next prime is 348288047. The reversal of 348288040 is 40882843.

It can be written as a sum of positive squares in 8 ways, for example, as 171557604 + 176730436 = 13098^2 + 13294^2 .

It is not an unprimeable number, because it can be changed into a prime (348288047) 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, 851356 + ... + 851764.

Almost surely, 2^348288040 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 348288040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400365000).

348288040 is an abundant number, since it is smaller than the sum of its proper divisors (452441960).

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

348288040 is a wasteful number, since it uses less digits than its factorization.

348288040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 348288040 is about 18662.4767916801. The cubic root of 348288040 is about 703.5789762635.

The spelling of 348288040 in words is "three hundred forty-eight million, two hundred eighty-eight thousand, forty".