34444445353632 has 144 divisors (see below), whose sum is σ = 103170915207360. Its totient is φ = 10870421861376.

The previous prime is 34444445353621. The next prime is 34444445353657. The reversal of 34444445353632 is 23635354444443.

34444445353632 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 4 + 44 + 535 + 3 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6834988 + ... + 10752020.

It is an arithmetic number, because the mean of its divisors is an integer number (716464688940).

Almost surely, 2^{34444445353632} is an apocalyptic number.

34444445353632 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 34444445353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51585457603680).

34444445353632 is an abundant number, since it is smaller than the sum of its proper divisors (68726469853728).

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

34444445353632 is a wasteful number, since it uses less digits than its factorization.

34444445353632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918675 (or 3918664 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 54.

The spelling of 34444445353632 in words is "thirty-four trillion, four hundred forty-four billion, four hundred forty-five million, three hundred fifty-three thousand, six hundred thirty-two".