3947616 has 60 divisors (see below), whose sum is σ = 11617452. Its totient is φ = 1315008.

The previous prime is 3947597. The next prime is 3947623. The reversal of 3947616 is 6167493.

3947616 is a `hidden beast` number, since 39 + 4 + 7 + 616 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1831 + ... + 3353.

Almost surely, 2^3947616 is an apocalyptic number.

3947616 is a gapful number since it is divisible by the number (36) 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 3947616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808726).

3947616 is an abundant number, since it is smaller than the sum of its proper divisors (7669836).

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

3947616 is a wasteful number, since it uses less digits than its factorization.

3947616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1528 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3947616 is about 1986.8608406227. The cubic root of 3947616 is about 158.0441045490.

Subtracting from 3947616 its product of digits (27216), we obtain a square (3920400 = 1980²).

The spelling of 3947616 in words is "three million, nine hundred forty-seven thousand, six hundred sixteen".