34768224 has 48 divisors (see below), whose sum is σ = 101409840. Its totient is φ = 11589120.

The previous prime is 34768207. The next prime is 34768229. The reversal of 34768224 is 42286743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×34768224⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19257 + ... + 20984.

It is an arithmetic number, because the mean of its divisors is an integer number (2112705).

Almost surely, 2^34768224 is an apocalyptic number.

It is an amenable number.

34768224 is an abundant number, since it is smaller than the sum of its proper divisors (66641616).

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

34768224 is a wasteful number, since it uses less digits than its factorization.

34768224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40260 (or 40246 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 34768224 is about 5896.4585981757. The cubic root of 34768224 is about 326.3829792162.

The spelling of 34768224 in words is "thirty-four million, seven hundred sixty-eight thousand, two hundred twenty-four".