3972647440 has 80 divisors (see below), whose sum is σ = 9517734576. Its totient is φ = 1541120000.

The previous prime is 3972647429. The next prime is 3972647449. The reversal of 3972647440 is 447462793.

It can be written as a sum of positive squares in 8 ways, for example, as 90859024 + 3881788416 = 9532^2 + 62304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3972647449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563940 + ... + 570940.

Almost surely, 2^3972647440 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 3972647440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758867288).

3972647440 is an abundant number, since it is smaller than the sum of its proper divisors (5545087136).

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

3972647440 is a wasteful number, since it uses less digits than its factorization.

3972647440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The square root of 3972647440 is about 63028.9412889031. The cubic root of 3972647440 is about 1583.7744828247.

The spelling of 3972647440 in words is "three billion, nine hundred seventy-two million, six hundred forty-seven thousand, four hundred forty".