3970365984 has 480 divisors, whose sum is σ = 13523811840. Its totient is φ = 1133180928.

The previous prime is 3970365977. The next prime is 3970365991. The reversal of 3970365984 is 4895630793.

3970365984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3970365977) and next prime (3970365991).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3970365984.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36425322 + ... + 36425430.

It is an arithmetic number, because the mean of its divisors is an integer number (28174608).

Almost surely, 2^3970365984 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 3970365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761905920).

3970365984 is an abundant number, since it is smaller than the sum of its proper divisors (9553445856).

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

3970365984 is a wasteful number, since it uses less digits than its factorization.

3970365984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3970365984 is about 63010.8402102368. The cubic root of 3970365984 is about 1583.4712422469.

The spelling of 3970365984 in words is "three billion, nine hundred seventy million, three hundred sixty-five thousand, nine hundred eighty-four".