3981505536 has 352 divisors, whose sum is σ = 12840094080. Its totient is φ = 1213857792.

The previous prime is 3981505529. The next prime is 3981505571. The reversal of 3981505536 is 6355051893.

3981505536 is a `hidden beast` number, since 3 + 98 + 1 + 5 + 0 + 553 + 6 = 666.

It is a super-3 number, since 3×3981505536³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3981505491 and 3981505500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20210590 + ... + 20210786.

It is an arithmetic number, because the mean of its divisors is an integer number (36477540).

Almost surely, 2^3981505536 is an apocalyptic number.

3981505536 is a gapful number since it is divisible by the number (36) 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 3981505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420047040).

3981505536 is an abundant number, since it is smaller than the sum of its proper divisors (8858588544).

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

3981505536 is a wasteful number, since it uses less digits than its factorization.

3981505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 3981505536 is about 63099.1722291188. The cubic root of 3981505536 is about 1584.9507607097.

The spelling of 3981505536 in words is "three billion, nine hundred eighty-one million, five hundred five thousand, five hundred thirty-six".