3378112447248 has 1920 divisors, whose sum is σ = 13180406400000. Its totient is φ = 826181959680.

The previous prime is 3378112447243. The next prime is 3378112447309. The reversal of 3378112447248 is 8427442118733.

It is a happy number.

3378112447248 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 1 + 124 + 472 + 48 = 666.

It is a super-2 number, since 2×3378112447248² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3378112447194 and 3378112447203.

It is not an unprimeable number, because it can be changed into a prime (3378112447243) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37956319588 + ... + 37956319676.

It is an arithmetic number, because the mean of its divisors is an integer number (6864795000).

Almost surely, 2^{3378112447248} 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 3378112447248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590203200000).

3378112447248 is an abundant number, since it is smaller than the sum of its proper divisors (9802293952752).

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

3378112447248 is a wasteful number, since it uses less digits than its factorization.

3378112447248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 214 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 3378112447248 in words is "three trillion, three hundred seventy-eight billion, one hundred twelve million, four hundred forty-seven thousand, two hundred forty-eight".