3983254272 has 144 divisors (see below), whose sum is σ = 11816364000. Its totient is φ = 1323565056.

The previous prime is 3983254237. The next prime is 3983254291. The reversal of 3983254272 is 2724523893.

3983254272 is a `hidden beast` number, since 3 + 9 + 8 + 32 + 542 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826304 + ... + 2827712.

Almost surely, 2^3983254272 is an apocalyptic number.

3983254272 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 3983254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908182000).

3983254272 is an abundant number, since it is smaller than the sum of its proper divisors (7833109728).

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

3983254272 is a wasteful number, since it uses less digits than its factorization.

3983254272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1823 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3983254272 is about 63113.0277518041. The cubic root of 3983254272 is about 1585.1827713350.

The spelling of 3983254272 in words is "three billion, nine hundred eighty-three million, two hundred fifty-four thousand, two hundred seventy-two".