3972667328 has 56 divisors (see below), whose sum is σ = 9055376352. Its totient is φ = 1693891584.

The previous prime is 3972667327. The next prime is 3972667351. The reversal of 3972667328 is 8237662793.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 3972667328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972667327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65750 + ... + 110762.

Almost surely, 2^3972667328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3972667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527688176).

3972667328 is an abundant number, since it is smaller than the sum of its proper divisors (5082709024).

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

3972667328 is a wasteful number, since it uses less digits than its factorization.

3972667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45229 (or 45219 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 53.

The square root of 3972667328 is about 63029.0990574988. The cubic root of 3972667328 is about 1583.7771257351. Note that the first 3 decimals are identical.

The spelling of 3972667328 in words is "three billion, nine hundred seventy-two million, six hundred sixty-seven thousand, three hundred twenty-eight".