34143243120 has 600 divisors, whose sum is σ = 138793241664. Its totient is φ = 7756342272.

The previous prime is 34143243083. The next prime is 34143243131. The reversal of 34143243120 is 2134234143.

34143243120 is a `hidden beast` number, since 3 + 414 + 3 + 243 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×34143243120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93033177 + ... + 93033543.

Almost surely, 2^34143243120 is an apocalyptic number.

34143243120 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 34143243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69396620832).

34143243120 is an abundant number, since it is smaller than the sum of its proper divisors (104649998544).

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

34143243120 is a wasteful number, since it uses less digits than its factorization.

34143243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34143243120 its reverse (2134234143), we get a palindrome (36277477263).

The spelling of 34143243120 in words is "thirty-four billion, one hundred forty-three million, two hundred forty-three thousand, one hundred twenty".