3338891280 has 400 divisors, whose sum is σ = 12488129280. Its totient is φ = 824131584.

The previous prime is 3338891279. The next prime is 3338891317. The reversal of 3338891280 is 821988333.

It is a super-2 number, since 2×3338891280² = 22296389959320076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5786352 + ... + 5786928.

Almost surely, 2^3338891280 is an apocalyptic number.

3338891280 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 3338891280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244064640).

3338891280 is an abundant number, since it is smaller than the sum of its proper divisors (9149238000).

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

3338891280 is a wasteful number, since it uses less digits than its factorization.

3338891280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3338891280 is about 57783.1401015902. The cubic root of 3338891280 is about 1494.6313681183.

The spelling of 3338891280 in words is "three billion, three hundred thirty-eight million, eight hundred ninety-one thousand, two hundred eighty".