34244211140032 has 56 divisors (see below), whose sum is σ = 70071754610592. Its totient is φ = 16593867264000.

The previous prime is 34244211139993. The next prime is 34244211140039. The reversal of 34244211140032 is 23004111244243.

It is a happy number.

It is a super-2 number, since 2×34244211140032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34244211139976 and 34244211140003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34244211140039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42816973 + ... + 43609420.

It is an arithmetic number, because the mean of its divisors is an integer number (1251281332332).

Almost surely, 2^{34244211140032} is an apocalyptic number.

34244211140032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34244211140032 is an abundant number, since it is smaller than the sum of its proper divisors (35827543470560).

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

34244211140032 is a wasteful number, since it uses less digits than its factorization.

34244211140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86426597 (or 86426587 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 34244211140032 its reverse (23004111244243), we get a palindrome (57248322384275).

The spelling of 34244211140032 in words is "thirty-four trillion, two hundred forty-four billion, two hundred eleven million, one hundred forty thousand, thirty-two".