3921680 has 80 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1307136.

The previous prime is 3921677. The next prime is 3921683. The reversal of 3921680 is 861293.

3921680 is digitally balanced in base 8, 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 (3921677) and next prime (3921683).

It is a tau number, because it is divible by the number of its divisors (80).

3921680 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3921683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26246 + ... + 26394.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^3921680 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 3921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3921680 is an abundant number, since it is smaller than the sum of its proper divisors (6791920).

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

3921680 is a wasteful number, since it uses less digits than its factorization.

3921680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 3921680 is about 1980.3232059439. The cubic root of 3921680 is about 157.6972250026.

The spelling of 3921680 in words is "three million, nine hundred twenty-one thousand, six hundred eighty".