3323744540000 has 240 divisors, whose sum is σ = 8407818086976. Its totient is φ = 1292198400000.

The previous prime is 3323744539891. The next prime is 3323744540003. The reversal of 3323744540000 is 454473233.

3323744540000 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 2×3323744540000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323744540003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222212522 + ... + 222227478.

Almost surely, 2^{3323744540000} 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 3323744540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203909043488).

3323744540000 is an abundant number, since it is smaller than the sum of its proper divisors (5084073546976).

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

3323744540000 is a wasteful number, since it uses less digits than its factorization.

3323744540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15299 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 35.

The spelling of 3323744540000 in words is "three trillion, three hundred twenty-three billion, seven hundred forty-four million, five hundred forty thousand".