3241122912 has 144 divisors (see below), whose sum is σ = 9646535808. Its totient is φ = 1030993920.

The previous prime is 3241122827. The next prime is 3241122971. The reversal of 3241122912 is 2192211423.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649258 + ... + 654230.

It is an arithmetic number, because the mean of its divisors is an integer number (66989832).

Almost surely, 2^3241122912 is an apocalyptic number.

3241122912 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 3241122912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823267904).

3241122912 is an abundant number, since it is smaller than the sum of its proper divisors (6405412896).

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

3241122912 is a wasteful number, since it uses less digits than its factorization.

3241122912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5082 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3241122912 is about 56930.8608050151. The cubic root of 3241122912 is about 1479.8981717133.

The spelling of 3241122912 in words is "three billion, two hundred forty-one million, one hundred twenty-two thousand, nine hundred twelve".