34144144032 has 192 divisors, whose sum is σ = 92386344960. Its totient is φ = 11038848000.

The previous prime is 34144144019. The next prime is 34144144043. The reversal of 34144144032 is 23044144143.

It is a super-2 number, since 2×34144144032² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 178765057 + ... + 178765247.

It is an arithmetic number, because the mean of its divisors is an integer number (481178880).

Almost surely, 2^34144144032 is an apocalyptic number.

34144144032 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 34144144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193172480).

34144144032 is an abundant number, since it is smaller than the sum of its proper divisors (58242200928).

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

34144144032 is a wasteful number, since it uses less digits than its factorization.

34144144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34144144032 its reverse (23044144143), we get a palindrome (57188288175).

The spelling of 34144144032 in words is "thirty-four billion, one hundred forty-four million, one hundred forty-four thousand, thirty-two".