3315312000000 has 3696 divisors, whose sum is σ = 16764715408896. Its totient is φ = 608256000000.

The previous prime is 3315311999969. The next prime is 3315312000001. The reversal of 3315312000000 is 2135133.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3315312000001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 144143999989 + ... + 144144000011.

Almost surely, 2^{3315312000000} is an apocalyptic number.

3315312000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3315312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382357704448).

3315312000000 is an abundant number, since it is smaller than the sum of its proper divisors (13449403408896).

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

3315312000000 is a wasteful number, since it uses less digits than its factorization.

3315312000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 3315312000000 its reverse (2135133), we get a palindrome (3315314135133).

The spelling of 3315312000000 in words is "three trillion, three hundred fifteen billion, three hundred twelve million", and thus it is an aban number.