3951680 has 56 divisors (see below), whose sum is σ = 9628632. Its totient is φ = 1544192.

The previous prime is 3951611. The next prime is 3951707. The reversal of 3951680 is 861593.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 3655744 = 544^2 + 1912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16844 + ... + 17076.

Almost surely, 2^3951680 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 3951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814316).

3951680 is an abundant number, since it is smaller than the sum of its proper divisors (5676952).

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

3951680 is a wasteful number, since it uses less digits than its factorization.

3951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 3951680 is about 1987.8832963733. The cubic root of 3951680 is about 158.0983204739.

The spelling of 3951680 in words is "three million, nine hundred fifty-one thousand, six hundred eighty".