34142144824384 has 63 divisors (see below), whose sum is σ = 70009800673413. Its totient is φ = 16519691481600.

The previous prime is 34142144824367. The next prime is 34142144824391. The reversal of 34142144824384 is 48342844124143.

The square root of 34142144824384 is 5843128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7122109137984 + 27020035686400 = 2668728^2 + 5198080^2 .

It is a super-2 number, since 2×34142144824384² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1449083964 + ... + 1449107524.

Almost surely, 2^{34142144824384} is an apocalyptic number.

34142144824384 is the 5843128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142144824384

34142144824384 is an abundant number, since it is smaller than the sum of its proper divisors (35867655849029).

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

34142144824384 is an frugal number, since it uses more digits than its factorization.

34142144824384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47196 (or 23594 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 52.

The spelling of 34142144824384 in words is "thirty-four trillion, one hundred forty-two billion, one hundred forty-four million, eight hundred twenty-four thousand, three hundred eighty-four".