34442413408 has 96 divisors (see below), whose sum is σ = 74558352960. Its totient is φ = 15564994560.

The previous prime is 34442413393. The next prime is 34442413409. The reversal of 34442413408 is 80431424443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442413409) by changing a digit.

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, 5808141 + ... + 5814067.

It is an arithmetic number, because the mean of its divisors is an integer number (776649510).

Almost surely, 2^34442413408 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 34442413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37279176480).

34442413408 is an abundant number, since it is smaller than the sum of its proper divisors (40115939552).

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

34442413408 is a wasteful number, since it uses less digits than its factorization.

34442413408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 34442413408 in words is "thirty-four billion, four hundred forty-two million, four hundred thirteen thousand, four hundred eight".