34143960 has 128 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 8549376.

The previous prime is 34143953. The next prime is 34143961. The reversal of 34143960 is 6934143.

34143960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245571 + ... + 245709.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^34143960 is an apocalyptic number.

34143960 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 34143960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

34143960 is an abundant number, since it is smaller than the sum of its proper divisors (74720040).

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

34143960 is a wasteful number, since it uses less digits than its factorization.

34143960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 34143960 is about 5843.2833236118. The cubic root of 34143960 is about 324.4177662363.

The spelling of 34143960 in words is "thirty-four million, one hundred forty-three thousand, nine hundred sixty".