348375040 has 96 divisors (see below), whose sum is σ = 900539640. Its totient is φ = 128581632.

The previous prime is 348375037. The next prime is 348375113. The reversal of 348375040 is 40573843.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 308634624 + 39740416 = 17568^2 + 6304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 348374987 and 348375005.

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, 131812 + ... + 134428.

Almost surely, 2^348375040 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 348375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450269820).

348375040 is an abundant number, since it is smaller than the sum of its proper divisors (552164600).

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

348375040 is a wasteful number, since it uses less digits than its factorization.

348375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 348375040 is about 18664.8075264654. The cubic root of 348375040 is about 703.6375544783.

The spelling of 348375040 in words is "three hundred forty-eight million, three hundred seventy-five thousand, forty".