34215120 has 60 divisors (see below), whose sum is σ = 114908196. Its totient is φ = 9123840.

The previous prime is 34215089. The next prime is 34215131. The reversal of 34215120 is 2151243.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 11861136 = 4728^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×34215120² = 2341348873228800, which contains 22 as substring.

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 = 34215093 and 34215102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23041 + ... + 24480.

Almost surely, 2^34215120 is an apocalyptic number.

34215120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34215120 is an abundant number, since it is smaller than the sum of its proper divisors (80693076).

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

34215120 is a wasteful number, since it uses less digits than its factorization.

34215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47540 (or 47531 counting only the distinct ones).

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

The square root of 34215120 is about 5849.3691967596. The cubic root of 34215120 is about 324.6429846850.

Adding to 34215120 its reverse (2151243), we get a palindrome (36366363).

The spelling of 34215120 in words is "thirty-four million, two hundred fifteen thousand, one hundred twenty".