34630224 has 120 divisors (see below), whose sum is σ = 100493568. Its totient is φ = 10229760.

The previous prime is 34630201. The next prime is 34630247. The reversal of 34630224 is 42203643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34630201) and next prime (34630247).

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 = 34630194 and 34630203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935934 + ... + 935970.

Almost surely, 2^34630224 is an apocalyptic number.

34630224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34630224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50246784).

34630224 is an abundant number, since it is smaller than the sum of its proper divisors (65863344).

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

34630224 is a wasteful number, since it uses less digits than its factorization.

34630224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34630224 is about 5884.7450242130. The cubic root of 34630224 is about 325.9505865612.

Adding to 34630224 its reverse (42203643), we get a palindrome (76833867).

The spelling of 34630224 in words is "thirty-four million, six hundred thirty thousand, two hundred twenty-four".