34450920 has 320 divisors, whose sum is σ = 139392000. Its totient is φ = 7620480.

The previous prime is 34450907. The next prime is 34450937. The reversal of 34450920 is 2905443.

34450920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1111305 + ... + 1111335.

It is an arithmetic number, because the mean of its divisors is an integer number (435600).

Almost surely, 2^34450920 is an apocalyptic number.

34450920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69696000).

34450920 is an abundant number, since it is smaller than the sum of its proper divisors (104941080).

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

34450920 is a wasteful number, since it uses less digits than its factorization.

34450920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34450920 is about 5869.4906082215. The cubic root of 34450920 is about 325.3870575898.

The spelling of 34450920 in words is "thirty-four million, four hundred fifty thousand, nine hundred twenty".