34804224 has 240 divisors, whose sum is σ = 125116992. Its totient is φ = 9068544.

The previous prime is 34804213. The next prime is 34804229. The reversal of 34804224 is 42240843.

It is a happy number.

It is a super-2 number, since 2×34804224² = 2422668016484352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34804229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419287 + ... + 419369.

Almost surely, 2^34804224 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 34804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

34804224 is an abundant number, since it is smaller than the sum of its proper divisors (90312768).

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

34804224 is a wasteful number, since it uses less digits than its factorization.

34804224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34804224 is about 5899.5104881676. The cubic root of 34804224 is about 326.4955890735.

The spelling of 34804224 in words is "thirty-four million, eight hundred four thousand, two hundred twenty-four".