346801224 has 384 divisors, whose sum is σ = 1241049600. Its totient is φ = 79349760.

The previous prime is 346801211. The next prime is 346801229. The reversal of 346801224 is 422108643.

It is a junction number, because it is equal to n+sod(n) for n = 346801191 and 346801200.

It is not an unprimeable number, because it can be changed into a prime (346801229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4178287 + ... + 4178369.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^346801224 is an apocalyptic number.

346801224 is a gapful number since it is divisible by the number (34) 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 346801224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

346801224 is an abundant number, since it is smaller than the sum of its proper divisors (894248376).

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

346801224 is a wasteful number, since it uses less digits than its factorization.

346801224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 346801224 is about 18622.5998185001. The cubic root of 346801224 is about 702.5763726106.

Adding to 346801224 its reverse (422108643), we get a palindrome (768909867).

The spelling of 346801224 in words is "three hundred forty-six million, eight hundred one thousand, two hundred twenty-four".