34143303120 has 160 divisors (see below), whose sum is σ = 114255187200. Its totient is φ = 8408666112.

The previous prime is 34143302989. The next prime is 34143303133. The reversal of 34143303120 is 2130334143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53436 + ... + 266724.

It is an arithmetic number, because the mean of its divisors is an integer number (714094920).

Almost surely, 2^34143303120 is an apocalyptic number.

34143303120 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 34143303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57127593600).

34143303120 is an abundant number, since it is smaller than the sum of its proper divisors (80111884080).

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

34143303120 is a wasteful number, since it uses less digits than its factorization.

34143303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213357 (or 213351 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34143303120 its reverse (2130334143), we get a palindrome (36273637263).

The spelling of 34143303120 in words is "thirty-four billion, one hundred forty-three million, three hundred three thousand, one hundred twenty".