34311120 has 40 divisors (see below), whose sum is σ = 106365216. Its totient is φ = 9149568.

The previous prime is 34311091. The next prime is 34311133. The reversal of 34311120 is 2111343.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34311120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71242 + ... + 71721.

Almost surely, 2^34311120 is an apocalyptic number.

34311120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34311120 is an abundant number, since it is smaller than the sum of its proper divisors (72054096).

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

34311120 is a wasteful number, since it uses less digits than its factorization.

34311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142979 (or 142973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34311120 is about 5857.5694618161. The cubic root of 34311120 is about 324.9463264421.

Adding to 34311120 its reverse (2111343), we get a palindrome (36422463).

The spelling of 34311120 in words is "thirty-four million, three hundred eleven thousand, one hundred twenty".