3993212672 has 144 divisors (see below), whose sum is σ = 8806533120. Its totient is φ = 1799884800.

The previous prime is 3993212633. The next prime is 3993212693. The reversal of 3993212672 is 2762123993.

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 15 ways as a sum of consecutive naturals, for example, 10705478 + ... + 10705850.

It is an arithmetic number, because the mean of its divisors is an integer number (61156480).

Almost surely, 2^3993212672 is an apocalyptic number.

3993212672 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 3993212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403266560).

3993212672 is an abundant number, since it is smaller than the sum of its proper divisors (4813320448).

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

3993212672 is a wasteful number, since it uses less digits than its factorization.

3993212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its digits is 244944, while the sum is 44.

The square root of 3993212672 is about 63191.8718823869. The cubic root of 3993212672 is about 1586.5026926876.

The spelling of 3993212672 in words is "three billion, nine hundred ninety-three million, two hundred twelve thousand, six hundred seventy-two".