3378368448 has 168 divisors, whose sum is σ = 11918318048. Its totient is φ = 890984448.

The previous prime is 3378368447. The next prime is 3378368449. The reversal of 3378368448 is 8448638733.

It is an interprime number because it is at equal distance from previous prime (3378368447) and next prime (3378368449).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3378368448² = 22826746740883857408, which contains 22 as substring.

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 = 3378368394 and 3378368403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378368443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20190 + ... + 84642.

Almost surely, 2^3378368448 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 3378368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959159024).

3378368448 is an abundant number, since it is smaller than the sum of its proper divisors (8539949600).

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

3378368448 is a wasteful number, since it uses less digits than its factorization.

3378368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64491 (or 64478 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3378368448 is about 58123.7339475020. The cubic root of 3378368448 is about 1500.4988634051.

The spelling of 3378368448 in words is "three billion, three hundred seventy-eight million, three hundred sixty-eight thousand, four hundred forty-eight".