34143318720 has 448 divisors, whose sum is σ = 138462105600. Its totient is φ = 7758581760.

The previous prime is 34143318709. The next prime is 34143318739. The reversal of 34143318720 is 2781334143.

34143318720 is a `hidden beast` number, since 3 + 41 + 433 + 187 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10945321 + ... + 10948439.

It is an arithmetic number, because the mean of its divisors is an integer number (309067200).

Almost surely, 2^34143318720 is an apocalyptic number.

34143318720 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 34143318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69231052800).

34143318720 is an abundant number, since it is smaller than the sum of its proper divisors (104318786880).

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

34143318720 is a wasteful number, since it uses less digits than its factorization.

34143318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34143318720 in words is "thirty-four billion, one hundred forty-three million, three hundred eighteen thousand, seven hundred twenty".