346749984 has 240 divisors, whose sum is σ = 1207483200. Its totient is φ = 95510016.

The previous prime is 346749961. The next prime is 346749989. The reversal of 346749984 is 489947643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 346749984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346749989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 525847 + ... + 526505.

It is an arithmetic number, because the mean of its divisors is an integer number (5031180).

Almost surely, 2^346749984 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 346749984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603741600).

346749984 is an abundant number, since it is smaller than the sum of its proper divisors (860733216).

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

346749984 is a wasteful number, since it uses less digits than its factorization.

346749984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 346749984 is about 18621.2240199188. The cubic root of 346749984 is about 702.5417689395.

The spelling of 346749984 in words is "three hundred forty-six million, seven hundred forty-nine thousand, nine hundred eighty-four".