3982649472 has 256 divisors, whose sum is σ = 12224822400. Its totient is φ = 1291438080.

The previous prime is 3982649441. The next prime is 3982649477. The reversal of 3982649472 is 2749462893.

3982649472 is a `hidden beast` number, since 3 + 9 + 82 + 6 + 494 + 72 = 666.

It is a super-2 number, since 2×3982649472² = 31722993633643757568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3982649477) by changing a digit.

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, 11477203 + ... + 11477549.

Almost surely, 2^3982649472 is an apocalyptic number.

3982649472 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 3982649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112411200).

3982649472 is an abundant number, since it is smaller than the sum of its proper divisors (8242172928).

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

3982649472 is an frugal number, since it uses more digits than its factorization.

3982649472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 393 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3982649472 is about 63108.2361661297. The cubic root of 3982649472 is about 1585.1025381889.

It can be divided in two parts, 39826 and 49472, that added together give a palindrome (89298).

The spelling of 3982649472 in words is "three billion, nine hundred eighty-two million, six hundred forty-nine thousand, four hundred seventy-two".