34375824 has 120 divisors (see below), whose sum is σ = 111808320. Its totient is φ = 9656064.

The previous prime is 34375813. The next prime is 34375829. The reversal of 34375824 is 42857343.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (34375829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67282 + ... + 67790.

It is an arithmetic number, because the mean of its divisors is an integer number (931736).

Almost surely, 2^34375824 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 34375824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55904160).

34375824 is an abundant number, since it is smaller than the sum of its proper divisors (77432496).

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

34375824 is a wasteful number, since it uses less digits than its factorization.

34375824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 588 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 34375824 is about 5863.0899703143. The cubic root of 34375824 is about 325.1504597220.

It can be divided in two parts, 3437 and 5824, that added together give a cube (9261 = 21³).

The spelling of 34375824 in words is "thirty-four million, three hundred seventy-five thousand, eight hundred twenty-four".