3971869440 has 864 divisors, whose sum is σ = 17112695040. Its totient is φ = 774144000.

The previous prime is 3971869423. The next prime is 3971869441. The reversal of 3971869440 is 449681793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971869441) 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, 39325390 + ... + 39325490.

It is an arithmetic number, because the mean of its divisors is an integer number (19806360).

Almost surely, 2^3971869440 is an apocalyptic number.

3971869440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3971869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556347520).

3971869440 is an abundant number, since it is smaller than the sum of its proper divisors (13140825600).

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

3971869440 is a wasteful number, since it uses less digits than its factorization.

3971869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 3971869440 is about 63022.7692187514. The cubic root of 3971869440 is about 1583.6710877117.

The spelling of 3971869440 in words is "three billion, nine hundred seventy-one million, eight hundred sixty-nine thousand, four hundred forty".