34521120 has 192 divisors, whose sum is σ = 123742080. Its totient is φ = 8985600.

The previous prime is 34521061. The next prime is 34521133. The reversal of 34521120 is 2112543.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34521093 and 34521102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263455 + ... + 263585.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^34521120 is an apocalyptic number.

34521120 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 34521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

34521120 is an abundant number, since it is smaller than the sum of its proper divisors (89220960).

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

34521120 is a wasteful number, since it uses less digits than its factorization.

34521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 34521120 is about 5875.4676409627. The cubic root of 34521120 is about 325.6079193642.

Adding to 34521120 its reverse (2112543), we get a palindrome (36633663).

The spelling of 34521120 in words is "thirty-four million, five hundred twenty-one thousand, one hundred twenty".