3947680 has 48 divisors (see below), whose sum is σ = 10178784. Its totient is φ = 1434880.

The previous prime is 3947663. The next prime is 3947693. The reversal of 3947680 is 867493.

3947680 = T₁₃₁ + T₁₃₂ + ... + T₂₉₅.

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, 639 + ... + 2881.

It is an arithmetic number, because the mean of its divisors is an integer number (212058).

Almost surely, 2^3947680 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 3947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089392).

3947680 is an abundant number, since it is smaller than the sum of its proper divisors (6231104).

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

3947680 is a wasteful number, since it uses less digits than its factorization.

3947680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3947680 is about 1986.8769463658. The cubic root of 3947680 is about 158.0449586314.

The spelling of 3947680 in words is "three million, nine hundred forty-seven thousand, six hundred eighty".