3381961248 has 72 divisors (see below), whose sum is σ = 9973677168. Its totient is φ = 1127317824.

The previous prime is 3381961201. The next prime is 3381961267. The reversal of 3381961248 is 8421691833.

3381961248 is a `hidden beast` number, since 338 + 19 + 61 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3381961248² = 22875323765947435008, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 209686 + ... + 225237.

It is an arithmetic number, because the mean of its divisors is an integer number (138523294).

Almost surely, 2^3381961248 is an apocalyptic number.

It is an amenable number.

3381961248 is an abundant number, since it is smaller than the sum of its proper divisors (6591715920).

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

3381961248 is an equidigital number, since it uses as much as digits as its factorization.

3381961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434948 (or 434928 counting only the distinct ones).

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

The square root of 3381961248 is about 58154.6322144677. The cubic root of 3381961248 is about 1501.0305877637.

The spelling of 3381961248 in words is "three billion, three hundred eighty-one million, nine hundred sixty-one thousand, two hundred forty-eight".