3972210528 has 384 divisors, whose sum is σ = 13110612480. Its totient is φ = 1035141120.

The previous prime is 3972210523. The next prime is 3972210551. The reversal of 3972210528 is 8250122793.

3972210528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972210523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25300626 + ... + 25300782.

It is an arithmetic number, because the mean of its divisors is an integer number (34142220).

Almost surely, 2^3972210528 is an apocalyptic number.

3972210528 is a gapful number since it is divisible by the number (38) 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 3972210528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6555306240).

3972210528 is an abundant number, since it is smaller than the sum of its proper divisors (9138401952).

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

3972210528 is a wasteful number, since it uses less digits than its factorization.

3972210528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3972210528 is about 63025.4752302591. The cubic root of 3972210528 is about 1583.7164194923.

The spelling of 3972210528 in words is "three billion, nine hundred seventy-two million, two hundred ten thousand, five hundred twenty-eight".