34284920 has 64 divisors (see below), whose sum is σ = 82529280. Its totient is φ = 12773376.

The previous prime is 34284919. The next prime is 34285001. The reversal of 34284920 is 2948243.

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, 86162 + ... + 86558.

It is an arithmetic number, because the mean of its divisors is an integer number (1289520).

Almost surely, 2^34284920 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 34284920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41264640).

34284920 is an abundant number, since it is smaller than the sum of its proper divisors (48244360).

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

34284920 is a wasteful number, since it uses less digits than its factorization.

34284920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

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

The square root of 34284920 is about 5855.3326122433. The cubic root of 34284920 is about 324.8635956183.

The spelling of 34284920 in words is "thirty-four million, two hundred eighty-four thousand, nine hundred twenty".