34147120 has 120 divisors (see below), whose sum is σ = 95672448. Its totient is φ = 11289600.

The previous prime is 34147103. The next prime is 34147121. The reversal of 34147120 is 2174143.

It is a junction number, because it is equal to n+sod(n) for n = 34147091 and 34147100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34147121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121380 + ... + 121660.

Almost surely, 2^34147120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47836224).

34147120 is an abundant number, since it is smaller than the sum of its proper divisors (61525328).

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

34147120 is a wasteful number, since it uses less digits than its factorization.

34147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 34147120 is about 5843.5537132810. The cubic root of 34147120 is about 324.4277741412.

The spelling of 34147120 in words is "thirty-four million, one hundred forty-seven thousand, one hundred twenty".