34005224 has 64 divisors (see below), whose sum is σ = 74183040. Its totient is φ = 14460160.

The previous prime is 34005211. The next prime is 34005263. The reversal of 34005224 is 42250043.

It is a junction number, because it is equal to n+sod(n) for n = 34005196 and 34005205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107114 + ... + 107430.

It is an arithmetic number, because the mean of its divisors is an integer number (1159110).

Almost surely, 2^34005224 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 34005224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37091520).

34005224 is an abundant number, since it is smaller than the sum of its proper divisors (40177816).

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

34005224 is a wasteful number, since it uses less digits than its factorization.

34005224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 34005224 is about 5831.3998319443. The cubic root of 34005224 is about 323.9777711722.

Adding to 34005224 its reverse (42250043), we get a palindrome (76255267).

The spelling of 34005224 in words is "thirty-four million, five thousand, two hundred twenty-four".