34441632512 has 72 divisors (see below), whose sum is σ = 79304714496. Its totient is φ = 14622667776.

The previous prime is 34441632499. The next prime is 34441632523. The reversal of 34441632512 is 21523614443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101933 + ... + 281555.

It is an arithmetic number, because the mean of its divisors is an integer number (1101454368).

Almost surely, 2^34441632512 is an apocalyptic number.

34441632512 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 34441632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39652357248).

34441632512 is an abundant number, since it is smaller than the sum of its proper divisors (44863081984).

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

34441632512 is a wasteful number, since it uses less digits than its factorization.

34441632512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179753 (or 179739 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The spelling of 34441632512 in words is "thirty-four billion, four hundred forty-one million, six hundred thirty-two thousand, five hundred twelve".