3971680 has 48 divisors (see below), whose sum is σ = 9513504. Its totient is φ = 1566720.

The previous prime is 3971677. The next prime is 3971687. The reversal of 3971680 is 861793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16360 + ... + 16600.

It is an arithmetic number, because the mean of its divisors is an integer number (198198).

Almost surely, 2^3971680 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 3971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752).

3971680 is an abundant number, since it is smaller than the sum of its proper divisors (5541824).

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

3971680 is a wasteful number, since it uses less digits than its factorization.

3971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 3971680 is about 1992.9074238409. The cubic root of 3971680 is about 158.3645909356.

The spelling of 3971680 in words is "three million, nine hundred seventy-one thousand, six hundred eighty".