346467408 has 240 divisors, whose sum is σ = 1122963840. Its totient is φ = 89994240.

The previous prime is 346467403. The next prime is 346467419. The reversal of 346467408 is 804764643.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 346467408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346467403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9363966 + ... + 9364002.

It is an arithmetic number, because the mean of its divisors is an integer number (4679016).

Almost surely, 2^346467408 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 346467408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561481920).

346467408 is an abundant number, since it is smaller than the sum of its proper divisors (776496432).

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

346467408 is a wasteful number, since it uses less digits than its factorization.

346467408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 346467408 is about 18613.6350023310. The cubic root of 346467408 is about 702.3508769392.

The spelling of 346467408 in words is "three hundred forty-six million, four hundred sixty-seven thousand, four hundred eight".