3974947072 has 72 divisors (see below), whose sum is σ = 8418929400. Its totient is φ = 1866596352.

The previous prime is 3974947063. The next prime is 3974947091. The reversal of 3974947072 is 2707494793.

It can be written as a sum of positive squares in 4 ways, for example, as 952586496 + 3022360576 = 30864^2 + 54976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3520204 + ... + 3521332.

It is an arithmetic number, because the mean of its divisors is an integer number (116929575).

Almost surely, 2^3974947072 is an apocalyptic number.

3974947072 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 3974947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209464700).

3974947072 is an abundant number, since it is smaller than the sum of its proper divisors (4443982328).

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

3974947072 is a wasteful number, since it uses less digits than its factorization.

3974947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The square root of 3974947072 is about 63047.1813168519. The cubic root of 3974947072 is about 1584.0800218050.

The spelling of 3974947072 in words is "three billion, nine hundred seventy-four million, nine hundred forty-seven thousand, seventy-two".