34442201024 has 112 divisors (see below), whose sum is σ = 85313276160. Its totient is φ = 13402920960.

The previous prime is 34442200981. The next prime is 34442201039. The reversal of 34442201024 is 42010224443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×34442201024² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34442200984 and 34442201002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4613807 + ... + 4621265.

It is an arithmetic number, because the mean of its divisors is an integer number (761725680).

Almost surely, 2^34442201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34442201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42656638080).

34442201024 is an abundant number, since it is smaller than the sum of its proper divisors (50871075136).

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

34442201024 is a wasteful number, since it uses less digits than its factorization.

34442201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8426 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 34442201024 its reverse (42010224443), we get a palindrome (76452425467).

The spelling of 34442201024 in words is "thirty-four billion, four hundred forty-two million, two hundred one thousand, twenty-four".