34142816160 has 72 divisors (see below), whose sum is σ = 116512365060. Its totient is φ = 9104750592.

The previous prime is 34142816131. The next prime is 34142816161. The reversal of 34142816160 is 6161824143.

34142816160 is a `hidden beast` number, since 3 + 4 + 14 + 28 + 1 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28673326224 + 5469489936 = 169332^2 + 73956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (34142816161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11853705 + ... + 11856584.

Almost surely, 2^34142816160 is an apocalyptic number.

34142816160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34142816160 is an abundant number, since it is smaller than the sum of its proper divisors (82369548900).

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

34142816160 is a wasteful number, since it uses less digits than its factorization.

34142816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23710310 (or 23710299 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 34142816160 in words is "thirty-four billion, one hundred forty-two million, eight hundred sixteen thousand, one hundred sixty".