346224040 has 128 divisors (see below), whose sum is σ = 866829600. Its totient is φ = 123863040.

The previous prime is 346224029. The next prime is 346224077. The reversal of 346224040 is 40422643.

It can be written as a sum of positive squares in 16 ways, for example, as 4639716 + 341584324 = 2154^2 + 18482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 346223996 and 346224014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1912750 + ... + 1912930.

Almost surely, 2^346224040 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 346224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433414800).

346224040 is an abundant number, since it is smaller than the sum of its proper divisors (520605560).

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

346224040 is a wasteful number, since it uses less digits than its factorization.

346224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 346224040 is about 18607.0964956922. The cubic root of 346224040 is about 702.1863883882.

Adding to 346224040 its reverse (40422643), we get a palindrome (386646683).

The spelling of 346224040 in words is "three hundred forty-six million, two hundred twenty-four thousand, forty".