3927581952 has 144 divisors (see below), whose sum is σ = 12332285952. Its totient is φ = 1085921280.

The previous prime is 3927581951. The next prime is 3927581963. The reversal of 3927581952 is 2591857293.

It is a super-2 number, since 2×3927581952² = 30851799979352260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3927581895 and 3927581904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3927581951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 154873 + ... + 178439.

Almost surely, 2^3927581952 is an apocalyptic number.

3927581952 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 3927581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166142976).

3927581952 is an abundant number, since it is smaller than the sum of its proper divisors (8404704000).

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

3927581952 is a wasteful number, since it uses less digits than its factorization.

3927581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23624 (or 23610 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The square root of 3927581952 is about 62670.4232632906. The cubic root of 3927581952 is about 1577.7629442734.

The spelling of 3927581952 in words is "three billion, nine hundred twenty-seven million, five hundred eighty-one thousand, nine hundred fifty-two".