346136448 has 128 divisors (see below), whose sum is σ = 1068503040. Its totient is φ = 97228800.

The previous prime is 346136447. The next prime is 346136467. The reversal of 346136448 is 844631643.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346136447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162913 + ... + 165023.

It is an arithmetic number, because the mean of its divisors is an integer number (8347680).

Almost surely, 2^346136448 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 346136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534251520).

346136448 is an abundant number, since it is smaller than the sum of its proper divisors (722366592).

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

346136448 is a wasteful number, since it uses less digits than its factorization.

346136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2184 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 346136448 is about 18604.7426211705. The cubic root of 346136448 is about 702.1271674882.

The spelling of 346136448 in words is "three hundred forty-six million, one hundred thirty-six thousand, four hundred forty-eight".