3378281280 has 336 divisors, whose sum is σ = 11934504960. Its totient is φ = 808980480.

The previous prime is 3378281273. The next prime is 3378281287. The reversal of 3378281280 is 821828733.

It is an interprime number because it is at equal distance from previous prime (3378281273) and next prime (3378281287).

It is a super-2 number, since 2×3378281280² = 22825568813596876800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378281287) 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, 14752206 + ... + 14752434.

It is an arithmetic number, because the mean of its divisors is an integer number (35519360).

Almost surely, 2^3378281280 is an apocalyptic number.

3378281280 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 3378281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967252480).

3378281280 is an abundant number, since it is smaller than the sum of its proper divisors (8556223680).

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

3378281280 is a wasteful number, since it uses less digits than its factorization.

3378281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 3378281280 is about 58122.9840940742. The cubic root of 3378281280 is about 1500.4859581017.

The spelling of 3378281280 in words is "three billion, three hundred seventy-eight million, two hundred eighty-one thousand, two hundred eighty".