3800982528 has 396 divisors, whose sum is σ = 13469423760. Its totient is φ = 1026514944.

The previous prime is 3800982511. The next prime is 3800982589. The reversal of 3800982528 is 8252890083.

3800982528 is a `hidden beast` number, since 38 + 0 + 0 + 98 + 2 + 528 = 666.

It is a super-2 number, since 2×3800982528² = 28894936356322541568, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 8579875 + ... + 8580317.

Almost surely, 2^3800982528 is an apocalyptic number.

3800982528 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 3800982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734711880).

3800982528 is an abundant number, since it is smaller than the sum of its proper divisors (9668441232).

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

3800982528 is a wasteful number, since it uses less digits than its factorization.

3800982528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3800982528 is about 61652.1088690403. The cubic root of 3800982528 is about 1560.6252326142.

The spelling of 3800982528 in words is "three billion, eight hundred million, nine hundred eighty-two thousand, five hundred twenty-eight".