34144142340672 has 1008 divisors, whose sum is σ = 131415612240640. Its totient is φ = 8246141190144.

The previous prime is 34144142340661. The next prime is 34144142340677. The reversal of 34144142340672 is 27604324144143.

It is a happy number.

34144142340672 is a `hidden beast` number, since 3 + 4 + 144 + 14 + 23 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×34144142340672³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34144142340677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 560453829 + ... + 560514747.

Almost surely, 2^{34144142340672} is an apocalyptic number.

34144142340672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144142340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707806120320).

34144142340672 is an abundant number, since it is smaller than the sum of its proper divisors (97271469899968).

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

34144142340672 is a wasteful number, since it uses less digits than its factorization.

34144142340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61028 (or 60998 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 34144142340672 in words is "thirty-four trillion, one hundred forty-four billion, one hundred forty-two million, three hundred forty thousand, six hundred seventy-two".