3970829772 has 288 divisors, whose sum is σ = 12752230400. Its totient is φ = 1014114816.

The previous prime is 3970829767. The next prime is 3970829777. The reversal of 3970829772 is 2779280793.

It is an interprime number because it is at equal distance from previous prime (3970829767) and next prime (3970829777).

It is not an unprimeable number, because it can be changed into a prime (3970829777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17339754 + ... + 17339982.

Almost surely, 2^3970829772 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 3970829772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376115200).

3970829772 is an abundant number, since it is smaller than the sum of its proper divisors (8781400628).

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

3970829772 is a wasteful number, since it uses less digits than its factorization.

3970829772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 3970829772 is about 63014.5203266676. The cubic root of 3970829772 is about 1583.5328962077.

The spelling of 3970829772 in words is "three billion, nine hundred seventy million, eight hundred twenty-nine thousand, seven hundred seventy-two".