3947860224 has 729 divisors, whose sum is σ = 15460698981. Its totient is φ = 965099520.

The previous prime is 3947860211. The next prime is 3947860253. The reversal of 3947860224 is 4220687493.

The square root of 3947860224 is 62832.

It is a perfect power (a square), and thus also a powerful number.

3947860224 is a `hidden beast` number, since 39 + 4 + 7 + 8 + 602 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3073593600 + 874266624 = 55440^2 + 29568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3947860224.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 232227064 + ... + 232227080.

Almost surely, 2^3947860224 is an apocalyptic number.

3947860224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3947860224 is the 62832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947860224

3947860224 is an abundant number, since it is smaller than the sum of its proper divisors (11512838757).

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

3947860224 is a wasteful number, since it uses less digits than its factorization.

3947860224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 3947860224 is about 1580.4736367784.

The spelling of 3947860224 in words is "three billion, nine hundred forty-seven million, eight hundred sixty thousand, two hundred twenty-four".