3982552893 has 32 divisors (see below), whose sum is σ = 6775219200. Its totient is φ = 2286630000.

The previous prime is 3982552883. The next prime is 3982552913.

3982552893 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 552 + 89 + 3 = 666.

3982552893 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3982552893 - 2¹² = 3982548797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982552813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347233 + ... + 358518.

It is an arithmetic number, because the mean of its divisors is an integer number (211725600).

Almost surely, 2^3982552893 is an apocalyptic number.

3982552893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3982552893 is a deficient number, since it is larger than the sum of its proper divisors (2792666307).

3982552893 is a wasteful number, since it uses less digits than its factorization.

3982552893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705790 (or 705784 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 3982552893 is about 63107.4709761055. The cubic root of 3982552893 is about 1585.0897252062.

The spelling of 3982552893 in words is "three billion, nine hundred eighty-two million, five hundred fifty-two thousand, eight hundred ninety-three".