34442331636 has 96 divisors (see below), whose sum is σ = 90212355072. Its totient is φ = 10174187520.

The previous prime is 34442331611. The next prime is 34442331641. The reversal of 34442331636 is 63613324443.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34442331594 and 34442331603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160390 + ... + 307586.

It is an arithmetic number, because the mean of its divisors is an integer number (939712032).

Almost surely, 2^34442331636 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 34442331636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45106177536).

34442331636 is an abundant number, since it is smaller than the sum of its proper divisors (55770023436).

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

34442331636 is a wasteful number, since it uses less digits than its factorization.

34442331636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147289 (or 147287 counting only the distinct ones).

The product of its digits is 373248, while the sum is 39.

The spelling of 34442331636 in words is "thirty-four billion, four hundred forty-two million, three hundred thirty-one thousand, six hundred thirty-six".