34145124 has 48 divisors (see below), whose sum is σ = 87644928. Its totient is φ = 10280448.

The previous prime is 34145123. The next prime is 34145131. The reversal of 34145124 is 42154143.

It is a junction number, because it is equal to n+sod(n) for n = 34145094 and 34145103.

It is not an unprimeable number, because it can be changed into a prime (34145123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5004 + ... + 9660.

It is an arithmetic number, because the mean of its divisors is an integer number (1825936).

Almost surely, 2^34145124 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 34145124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43822464).

34145124 is an abundant number, since it is smaller than the sum of its proper divisors (53499804).

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

34145124 is a wasteful number, since it uses less digits than its factorization.

34145124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4722 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 34145124 is about 5843.3829242999. The cubic root of 34145124 is about 324.4214527642.

Adding to 34145124 its reverse (42154143), we get a palindrome (76299267).

The spelling of 34145124 in words is "thirty-four million, one hundred forty-five thousand, one hundred twenty-four".