340213824 has 224 divisors, whose sum is σ = 1053388800. Its totient is φ = 107573760.

The previous prime is 340213793. The next prime is 340213831. The reversal of 340213824 is 428312043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4791709 + ... + 4791779.

Almost surely, 2^340213824 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 340213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

340213824 is an abundant number, since it is smaller than the sum of its proper divisors (713174976).

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

340213824 is a wasteful number, since it uses less digits than its factorization.

340213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 340213824 is about 18444.8861205484. The cubic root of 340213824 is about 698.0994869181.

Adding to 340213824 its reverse (428312043), we get a palindrome (768525867).

The spelling of 340213824 in words is "three hundred forty million, two hundred thirteen thousand, eight hundred twenty-four".