34573920 has 192 divisors, whose sum is σ = 121927680. Its totient is φ = 8183808.

The previous prime is 34573867. The next prime is 34573921. The reversal of 34573920 is 2937543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34573921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 154929 + ... + 155151.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^34573920 is an apocalyptic number.

34573920 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 34573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

34573920 is an abundant number, since it is smaller than the sum of its proper divisors (87353760).

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

34573920 is a wasteful number, since it uses less digits than its factorization.

34573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 34573920 is about 5879.9591835318. The cubic root of 34573920 is about 325.7738404051.

The spelling of 34573920 in words is "thirty-four million, five hundred seventy-three thousand, nine hundred twenty".