3970288224 has 240 divisors, whose sum is σ = 13457461248. Its totient is φ = 1124782848.

The previous prime is 3970288207. The next prime is 3970288229. The reversal of 3970288224 is 4228820793.

It is a self number, because there is not a number n which added to its sum of digits gives 3970288224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970288229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2303427 + ... + 2305149.

Almost surely, 2^3970288224 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 3970288224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728730624).

3970288224 is an abundant number, since it is smaller than the sum of its proper divisors (9487173024).

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

3970288224 is a wasteful number, since it uses less digits than its factorization.

3970288224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3970288224 is about 63010.2231705300. The cubic root of 3970288224 is about 1583.4609047005.

The spelling of 3970288224 in words is "three billion, nine hundred seventy million, two hundred eighty-eight thousand, two hundred twenty-four".