3977652224 has 144 divisors (see below), whose sum is σ = 9966820500. Its totient is φ = 1573060608.

The previous prime is 3977652139. The next prime is 3977652229. The reversal of 3977652224 is 4222567793.

It can be written as a sum of positive squares in 2 ways, for example, as 3314074624 + 663577600 = 57568^2 + 25760^2 .

It is not an unprimeable number, because it can be changed into a prime (3977652229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303052 + ... + 1306100.

Almost surely, 2^3977652224 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 3977652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983410250).

3977652224 is an abundant number, since it is smaller than the sum of its proper divisors (5989168276).

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

3977652224 is a wasteful number, since it uses less digits than its factorization.

3977652224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3071 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The square root of 3977652224 is about 63068.6310617251. The cubic root of 3977652224 is about 1584.4392891056.

The spelling of 3977652224 in words is "three billion, nine hundred seventy-seven million, six hundred fifty-two thousand, two hundred twenty-four".