3338812400000 has 768 divisors, whose sum is σ = 10610635875840. Its totient is φ = 1016064000000.

The previous prime is 3338812399973. The next prime is 3338812400023. The reversal of 3338812400000 is 42188333.

It is a happy number.

It is a super-2 number, since 2×3338812400000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3338812400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1324398740 + ... + 1324401260.

It is an arithmetic number, because the mean of its divisors is an integer number (13815932130).

Almost surely, 2^{3338812400000} 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 3338812400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305317937920).

3338812400000 is an abundant number, since it is smaller than the sum of its proper divisors (7271823475840).

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

3338812400000 is an equidigital number, since it uses as much as digits as its factorization.

3338812400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 3338812400000 its reverse (42188333), we get a palindrome (3338854588333).

The spelling of 3338812400000 in words is "three trillion, three hundred thirty-eight billion, eight hundred twelve million, four hundred thousand".