34124341410 has 96 divisors (see below), whose sum is σ = 91134611568. Its totient is φ = 8853719040.

The previous prime is 34124341393. The next prime is 34124341429. The reversal of 34124341410 is 1414342143.

34124341410 is a `hidden beast` number, since 3 + 4 + 1 + 243 + 4 + 1 + 410 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16558285041 + 17566056369 = 128679^2 + 132537^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1363974 + ... + 1388766.

Almost surely, 2^34124341410 is an apocalyptic number.

34124341410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124341410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45567305784).

34124341410 is an abundant number, since it is smaller than the sum of its proper divisors (57010270158).

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

34124341410 is a wasteful number, since it uses less digits than its factorization.

34124341410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220 (or 25217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34124341410 its reverse (1414342143), we get a palindrome (35538683553).

The spelling of 34124341410 in words is "thirty-four billion, one hundred twenty-four million, three hundred forty-one thousand, four hundred ten".