3381047040000 has 1920 divisors, whose sum is σ = 14000418432000. Its totient is φ = 722534400000.

The previous prime is 3381047039977. The next prime is 3381047040001. The reversal of 3381047040000 is 407401833.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3381047040000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3381047040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381047040001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22391039925 + ... + 22391040075.

It is an arithmetic number, because the mean of its divisors is an integer number (7291884600).

Almost surely, 2^{3381047040000} is an apocalyptic number.

3381047040000 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 3381047040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7000209216000).

3381047040000 is an abundant number, since it is smaller than the sum of its proper divisors (10619371392000).

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

3381047040000 is an equidigital number, since it uses as much as digits as its factorization.

3381047040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 3381047040000 in words is "three trillion, three hundred eighty-one billion, forty-seven million, forty thousand".