34040445444 has 18 divisors (see below), whose sum is σ = 86046681630. Its totient is φ = 11346815136.

The previous prime is 34040445433. The next prime is 34040445463. The reversal of 34040445444 is 44454404043.

34040445444 is a `hidden beast` number, since 34 + 0 + 40 + 44 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32512417344 + 1528028100 = 180312^2 + 39090^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×34040445444³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 945567929 = 34040445444 / (3 + 4 + 0 + 4 + 0 + 4 + 4 + 5 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 34040445399 and 34040445408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472783929 + ... + 472784000.

Almost surely, 2^34040445444 is an apocalyptic number.

It is an amenable number.

34040445444 is an abundant number, since it is smaller than the sum of its proper divisors (52006236186).

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

34040445444 is a wasteful number, since it uses less digits than its factorization.

34040445444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945567939 (or 945567934 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 34040445444 its reverse (44454404043), we get a palindrome (78494849487).

The spelling of 34040445444 in words is "thirty-four billion, forty million, four hundred forty-five thousand, four hundred forty-four".