346224384 has 216 divisors, whose sum is σ = 1147910400. Its totient is φ = 99256320.

The previous prime is 346224383. The next prime is 346224401. The reversal of 346224384 is 483422643.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (346224383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481177 + ... + 481895.

It is an arithmetic number, because the mean of its divisors is an integer number (5314400).

Almost surely, 2^346224384 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 346224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573955200).

346224384 is an abundant number, since it is smaller than the sum of its proper divisors (801686016).

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

346224384 is a wasteful number, since it uses less digits than its factorization.

346224384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 754 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 346224384 is about 18607.1057394749. The cubic root of 346224384 is about 702.1866209467.

The spelling of 346224384 in words is "three hundred forty-six million, two hundred twenty-four thousand, three hundred eighty-four".