34413631443 has 24 divisors (see below), whose sum is σ = 50201564400. Its totient is φ = 22715320320.

The previous prime is 34413631429. The next prime is 34413631477.

34413631443 is a `hidden beast` number, since 3 + 4 + 4 + 13 + 631 + 4 + 4 + 3 = 666.

34413631443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34413631443 - 2¹⁷ = 34413500371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34413631398 and 34413631407.

It is not an unprimeable number, because it can be changed into a prime (34413631493) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 970083 + ... + 1004931.

It is an arithmetic number, because the mean of its divisors is an integer number (2091731850).

Almost surely, 2^34413631443 is an apocalyptic number.

34413631443 is a deficient number, since it is larger than the sum of its proper divisors (15787932957).

34413631443 is a wasteful number, since it uses less digits than its factorization.

34413631443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35939 (or 35936 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

It can be divided in two parts, 34413 and 631443, that added together give a square (665856 = 816²).

The spelling of 34413631443 in words is "thirty-four billion, four hundred thirteen million, six hundred thirty-one thousand, four hundred forty-three".