334536224 has 96 divisors (see below), whose sum is σ = 746516736. Its totient is φ = 146257920.

The previous prime is 334536131. The next prime is 334536229. The reversal of 334536224 is 422635433.

It is a super-2 number, since 2×334536224² = 223828970336356352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (334536229) 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 15 ways as a sum of consecutive naturals, for example, 1207574 + ... + 1207850.

It is an arithmetic number, because the mean of its divisors is an integer number (7776216).

Almost surely, 2^334536224 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 334536224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373258368).

334536224 is an abundant number, since it is smaller than the sum of its proper divisors (411980512).

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

334536224 is a wasteful number, since it uses less digits than its factorization.

334536224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its digits is 51840, while the sum is 32.

The square root of 334536224 is about 18290.3314349412. The cubic root of 334536224 is about 694.1943109064.

The spelling of 334536224 in words is "three hundred thirty-four million, five hundred thirty-six thousand, two hundred twenty-four".