3384000120048 has 240 divisors, whose sum is σ = 9340766006880. Its totient is φ = 1053666496512.

The previous prime is 3384000120041. The next prime is 3384000120097. The reversal of 3384000120048 is 8400210004833.

It is a super-2 number, since 2×3384000120048² (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 (3384000120041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998817890 + ... + 1998819582.

It is an arithmetic number, because the mean of its divisors is an integer number (38919858362).

Almost surely, 2^{3384000120048} 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 3384000120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670383003440).

3384000120048 is an abundant number, since it is smaller than the sum of its proper divisors (5956765886832).

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

3384000120048 is a wasteful number, since it uses less digits than its factorization.

3384000120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 3384000120048 in words is "three trillion, three hundred eighty-four billion, one hundred twenty thousand, forty-eight".