3324212130400 has 144 divisors (see below), whose sum is σ = 9279336084480. Its totient is φ = 1139141952000.

The previous prime is 3324212130373. The next prime is 3324212130419. The reversal of 3324212130400 is 40312124233.

It is a super-2 number, since 2×3324212130400² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10773471 + ... + 11077729.

It is an arithmetic number, because the mean of its divisors is an integer number (64439833920).

Almost surely, 2^{3324212130400} 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 3324212130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639668042240).

3324212130400 is an abundant number, since it is smaller than the sum of its proper divisors (5955123954080).

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

3324212130400 is a wasteful number, since it uses less digits than its factorization.

3324212130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306237 (or 306224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3324212130400 its reverse (40312124233), we get a palindrome (3364524254633).

The spelling of 3324212130400 in words is "three trillion, three hundred twenty-four billion, two hundred twelve million, one hundred thirty thousand, four hundred".