34444144022004 has 48 divisors (see below), whose sum is σ = 89441153639040. Its totient is φ = 11463185784960.

The previous prime is 34444144021993. The next prime is 34444144022111. The reversal of 34444144022004 is 40022044144443.

It is a happy number.

34444144022004 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 4 + 1 + 440 + 2 + 200 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34444144022004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252647589 + ... + 252783884.

It is an arithmetic number, because the mean of its divisors is an integer number (1863357367480).

Almost surely, 2^{34444144022004} is an apocalyptic number.

It is an amenable number.

34444144022004 is an abundant number, since it is smaller than the sum of its proper divisors (54997009617036).

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

34444144022004 is a wasteful number, since it uses less digits than its factorization.

34444144022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505432117 (or 505432109 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 34444144022004 its reverse (40022044144443), we get a palindrome (74466188166447).

The spelling of 34444144022004 in words is "thirty-four trillion, four hundred forty-four billion, one hundred forty-four million, twenty-two thousand, four".