3981521952 has 288 divisors, whose sum is σ = 12328243200. Its totient is φ = 1262511360.

The previous prime is 3981521939. The next prime is 3981521987. The reversal of 3981521952 is 2591251893.

3981521952 is a `hidden beast` number, since 39 + 8 + 1 + 521 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3981521898 and 3981521907.

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 47 ways as a sum of consecutive naturals, for example, 20007549 + ... + 20007747.

It is an arithmetic number, because the mean of its divisors is an integer number (42806400).

Almost surely, 2^3981521952 is an apocalyptic number.

3981521952 is a gapful number since it is divisible by the number (32) 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 3981521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6164121600).

3981521952 is an abundant number, since it is smaller than the sum of its proper divisors (8346721248).

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

3981521952 is a wasteful number, since it uses less digits than its factorization.

3981521952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 3981521952 is about 63099.3023099305. The cubic root of 3981521952 is about 1584.9529389909.

The spelling of 3981521952 in words is "three billion, nine hundred eighty-one million, five hundred twenty-one thousand, nine hundred fifty-two".