34382920 has 64 divisors (see below), whose sum is σ = 90901440. Its totient is φ = 11539200.

The previous prime is 34382869. The next prime is 34382921. The reversal of 34382920 is 2928343.

It is not an unprimeable number, because it can be changed into a prime (34382921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2715 + ... + 8725.

It is an arithmetic number, because the mean of its divisors is an integer number (1420335).

Almost surely, 2^34382920 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 34382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45450720).

34382920 is an abundant number, since it is smaller than the sum of its proper divisors (56518520).

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

34382920 is a wasteful number, since it uses less digits than its factorization.

34382920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34382920 is about 5863.6950807490. The cubic root of 34382920 is about 325.1728311511.

The spelling of 34382920 in words is "thirty-four million, three hundred eighty-two thousand, nine hundred twenty".