3321332121400 has 96 divisors (see below), whose sum is σ = 7869605576400. Its totient is φ = 1303166592000.

The previous prime is 3321332121397. The next prime is 3321332121403. The reversal of 3321332121400 is 41212331233.

3321332121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3321332121397) and next prime (3321332121403).

It is a super-2 number, since 2×3321332121400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321332121403) 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, 49266916 + ... + 49334284.

Almost surely, 2^{3321332121400} 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 3321332121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934802788200).

3321332121400 is an abundant number, since it is smaller than the sum of its proper divisors (4548273455000).

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

3321332121400 is a wasteful number, since it uses less digits than its factorization.

3321332121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72089 (or 72080 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3321332121400 its reverse (41212331233), we get a palindrome (3362544452633).

The spelling of 3321332121400 in words is "three trillion, three hundred twenty-one billion, three hundred thirty-two million, one hundred twenty-one thousand, four hundred".