3971880 has 192 divisors, whose sum is σ = 15163200. Its totient is φ = 890880.

The previous prime is 3971879. The next prime is 3971881. The reversal of 3971880 is 881793.

3971880 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 (3971879) and next prime (3971881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3971881) 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 47 ways as a sum of consecutive naturals, for example, 67291 + ... + 67349.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

Almost surely, 2^3971880 is an apocalyptic number.

3971880 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 3971880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581600).

3971880 is an abundant number, since it is smaller than the sum of its proper divisors (11191320).

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

3971880 is a wasteful number, since it uses less digits than its factorization.

3971880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3971880 is about 1992.9576011546. The cubic root of 3971880 is about 158.3672491211.

It can be divided in two parts, 3971 and 880, that added together give a triangular number (4851 = T₉₈).

The spelling of 3971880 in words is "three million, nine hundred seventy-one thousand, eight hundred eighty".