3363340540000 has 240 divisors, whose sum is σ = 9782461735200. Its totient is φ = 1113380352000.

The previous prime is 3363340539989. The next prime is 3363340540033. The reversal of 3363340540000 is 450433633.

It is a happy number.

3363340540000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3363340540000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3645796 + ... + 4474204.

It is an arithmetic number, because the mean of its divisors is an integer number (40760257230).

Almost surely, 2^{3363340540000} 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 3363340540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891230867600).

3363340540000 is an abundant number, since it is smaller than the sum of its proper divisors (6419121195200).

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

3363340540000 is an equidigital number, since it uses as much as digits as its factorization.

3363340540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828475 (or 828452 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 3363340540000 its reverse (450433633), we get a palindrome (3363790973633).

The spelling of 3363340540000 in words is "three trillion, three hundred sixty-three billion, three hundred forty million, five hundred forty thousand".