34720224 has 216 divisors, whose sum is σ = 118445544. Its totient is φ = 8870400.

The previous prime is 34720223. The next prime is 34720229. The reversal of 34720224 is 42202743.

It is a super-2 number, since 2×34720224² = 2410987909220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34720194 and 34720203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34720223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 569154 + ... + 569214.

It is an arithmetic number, because the mean of its divisors is an integer number (548359).

Almost surely, 2^34720224 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 34720224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59222772).

34720224 is an abundant number, since it is smaller than the sum of its proper divisors (83725320).

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

34720224 is a wasteful number, since it uses less digits than its factorization.

34720224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 34720224 is about 5892.3869526704. The cubic root of 34720224 is about 326.2327117569.

Adding to 34720224 its reverse (42202743), we get a palindrome (76922967).

The spelling of 34720224 in words is "thirty-four million, seven hundred twenty thousand, two hundred twenty-four".