3324341120100 has 576 divisors, whose sum is σ = 13263329759232. Its totient is φ = 620400384000.

The previous prime is 3324341120059. The next prime is 3324341120171. The reversal of 3324341120100 is 10211434233.

It is a happy number.

It is a super-2 number, since 2×3324341120100² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 10961505 + ... + 11260695.

Almost surely, 2^{3324341120100} is an apocalyptic number.

3324341120100 is a gapful number since it is divisible by the number (30) 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 3324341120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631664879616).

3324341120100 is an abundant number, since it is smaller than the sum of its proper divisors (9938988639132).

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

3324341120100 is a wasteful number, since it uses less digits than its factorization.

3324341120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299276 (or 299269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3324341120100 its reverse (10211434233), we get a palindrome (3334552554333).

The spelling of 3324341120100 in words is "three trillion, three hundred twenty-four billion, three hundred forty-one million, one hundred twenty thousand, one hundred".