3323334400000 has 576 divisors, whose sum is σ = 8789354945280. Its totient is φ = 1253683200000.

The previous prime is 3323334399971. The next prime is 3323334400007. The reversal of 3323334400000 is 44333233.

It is a super-2 number, since 2×3323334400000² (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 (3323334400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15750399895 + ... + 15750400105.

It is an arithmetic number, because the mean of its divisors is an integer number (15259296780).

Almost surely, 2^{3323334400000} 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 3323334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4394677472640).

3323334400000 is an abundant number, since it is smaller than the sum of its proper divisors (5466020545280).

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

3323334400000 is an equidigital number, since it uses as much as digits as its factorization.

3323334400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 3323334400000 its reverse (44333233), we get a palindrome (3323378733233).

The spelling of 3323334400000 in words is "three trillion, three hundred twenty-three billion, three hundred thirty-four million, four hundred thousand".