34323120 has 240 divisors, whose sum is σ = 131345760. Its totient is φ = 7962624.

The previous prime is 34323083. The next prime is 34323143. The reversal of 34323120 is 2132343.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 34323093 and 34323102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177744 + ... + 177936.

It is an arithmetic number, because the mean of its divisors is an integer number (547274).

Almost surely, 2^34323120 is an apocalyptic number.

34323120 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 34323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672880).

34323120 is an abundant number, since it is smaller than the sum of its proper divisors (97022640).

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

34323120 is a wasteful number, since it uses less digits than its factorization.

34323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34323120 is about 5858.5936879084. The cubic root of 34323120 is about 324.9842043605.

Adding to 34323120 its reverse (2132343), we get a palindrome (36455463).

It can be divided in two parts, 34323 and 120, that added together give a palindrome (34443).

The spelling of 34323120 in words is "thirty-four million, three hundred twenty-three thousand, one hundred twenty".