34913824 has 72 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 15523200.

The previous prime is 34913821. The next prime is 34913833. The reversal of 34913824 is 42831943.

It is a self number, because there is not a number n which added to its sum of digits gives 34913824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34913821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274849 + ... + 274975.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^34913824 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 34913824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

34913824 is an abundant number, since it is smaller than the sum of its proper divisors (42307040).

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

34913824 is a wasteful number, since it uses less digits than its factorization.

34913824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 34913824 is about 5908.7920931439. The cubic root of 34913824 is about 326.8379461817.

The spelling of 34913824 in words is "thirty-four million, nine hundred thirteen thousand, eight hundred twenty-four".