3972728620 has 192 divisors, whose sum is σ = 10442880000. Its totient is φ = 1239183360.

The previous prime is 3972728609. The next prime is 3972728651. The reversal of 3972728620 is 268272793.

3972728620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7961131 + ... + 7961629.

It is an arithmetic number, because the mean of its divisors is an integer number (54390000).

Almost surely, 2^3972728620 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 3972728620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221440000).

3972728620 is an abundant number, since it is smaller than the sum of its proper divisors (6470151380).

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

3972728620 is a wasteful number, since it uses less digits than its factorization.

3972728620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 3972728620 is about 63029.5852754879. The cubic root of 3972728620 is about 1583.7852707554.

The spelling of 3972728620 in words is "three billion, nine hundred seventy-two million, seven hundred twenty-eight thousand, six hundred twenty".