3344132000000 has 252 divisors, whose sum is σ = 9102550048368. Its totient is φ = 1216032000000.

The previous prime is 3344131999993. The next prime is 3344132000023. The reversal of 3344132000000 is 2314433.

It is a super-2 number, since 2×3344132000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43961999 + ... + 44038001.

Almost surely, 2^{3344132000000} 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 3344132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551275024184).

3344132000000 is an abundant number, since it is smaller than the sum of its proper divisors (5758418048368).

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

3344132000000 is an frugal number, since it uses more digits than its factorization.

3344132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76060 (or 76021 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3344132000000 its reverse (2314433), we get a palindrome (3344134314433).

The spelling of 3344132000000 in words is "three trillion, three hundred forty-four billion, one hundred thirty-two million", and thus it is an aban number.