34824920 has 64 divisors (see below), whose sum is σ = 85065120. Its totient is φ = 12754944.

The previous prime is 34824919. The next prime is 34824931. The reversal of 34824920 is 2942843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100187 + ... + 100533.

Almost surely, 2^34824920 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 34824920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42532560).

34824920 is an abundant number, since it is smaller than the sum of its proper divisors (50240200).

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

34824920 is a wasteful number, since it uses less digits than its factorization.

34824920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 34824920 is about 5901.2642713236. The cubic root of 34824920 is about 326.5602920800.

The spelling of 34824920 in words is "thirty-four million, eight hundred twenty-four thousand, nine hundred twenty".