3880463328 has 192 divisors, whose sum is σ = 13616064000. Its totient is φ = 1050319872.

The previous prime is 3880463281. The next prime is 3880463341. The reversal of 3880463328 is 8233640883.

3880463328 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 4 + 633 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98028 + ... + 131796.

It is an arithmetic number, because the mean of its divisors is an integer number (70917000).

Almost surely, 2^3880463328 is an apocalyptic number.

3880463328 is a gapful number since it is divisible by the number (38) 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 3880463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808032000).

3880463328 is an abundant number, since it is smaller than the sum of its proper divisors (9735600672).

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

3880463328 is a wasteful number, since it uses less digits than its factorization.

3880463328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33814 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3880463328 is about 62293.3650399463. The cubic root of 3880463328 is about 1571.4281469908.

The spelling of 3880463328 in words is "three billion, eight hundred eighty million, four hundred sixty-three thousand, three hundred twenty-eight".