3320400441100 has 72 divisors (see below), whose sum is σ = 7290610589808. Its totient is φ = 1312498790400.

The previous prime is 3320400441089. The next prime is 3320400441103. The reversal of 3320400441100 is 11440040233.

It is a super-2 number, since 2×3320400441100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320400441103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3372135 + ... + 4244065.

It is an arithmetic number, because the mean of its divisors is an integer number (101258480414).

Almost surely, 2^{3320400441100} 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 3320400441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645305294904).

3320400441100 is an abundant number, since it is smaller than the sum of its proper divisors (3970210148708).

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

3320400441100 is a wasteful number, since it uses less digits than its factorization.

3320400441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872395 (or 872388 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 3320400441100 its reverse (11440040233), we get a palindrome (3331840481333).

The spelling of 3320400441100 in words is "three trillion, three hundred twenty billion, four hundred million, four hundred forty-one thousand, one hundred".