34184681881 has 27 divisors (see below), whose sum is σ = 40522024413. Its totient is φ = 28754248320.

The previous prime is 34184681851. The next prime is 34184681899. The reversal of 34184681881 is 18818648143.

The square root of 34184681881 is 184891.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25662438025 + 8522243856 = 160195^2 + 92316^2 .

It is not a de Polignac number, because 34184681881 - 2¹¹ = 34184679833 is a prime.

It is a super-2 number, since 2×34184681881² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34184681851) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78948241 + ... + 78948673.

It is an arithmetic number, because the mean of its divisors is an integer number (1500815719).

Almost surely, 2^34184681881 is an apocalyptic number.

34184681881 is the 184891-st square number.

34184681881 is the 92446-th centered octagonal number.

It is an amenable number.

34184681881 is a deficient number, since it is larger than the sum of its proper divisors (6337342532).

34184681881 is an frugal number, since it uses more digits than its factorization.

34184681881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 52.

The spelling of 34184681881 in words is "thirty-four billion, one hundred eighty-four million, six hundred eighty-one thousand, eight hundred eighty-one".