3332120040032 has 96 divisors (see below), whose sum is σ = 7637901868800. Its totient is φ = 1401350542848.

The previous prime is 3332120040001. The next prime is 3332120040059. The reversal of 3332120040032 is 2300400212333.

It is a super-2 number, since 2×3332120040032² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7216694 + ... + 7664522.

It is an arithmetic number, because the mean of its divisors is an integer number (79561477800).

Almost surely, 2^{3332120040032} is an apocalyptic number.

3332120040032 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 3332120040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818950934400).

3332120040032 is an abundant number, since it is smaller than the sum of its proper divisors (4305781828768).

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

3332120040032 is a wasteful number, since it uses less digits than its factorization.

3332120040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448468 (or 448460 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 3332120040032 its reverse (2300400212333), we get a palindrome (5632520252365).

The spelling of 3332120040032 in words is "three trillion, three hundred thirty-two billion, one hundred twenty million, forty thousand, thirty-two".