3947768 has 32 divisors (see below), whose sum is σ = 8166960. Its totient is φ = 1774080.

The previous prime is 3947759. The next prime is 3947771. The reversal of 3947768 is 8677493.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9746 + ... + 10142.

Almost surely, 2^3947768 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 3947768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083480).

3947768 is an abundant number, since it is smaller than the sum of its proper divisors (4219192).

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

3947768 is a wasteful number, since it uses less digits than its factorization.

3947768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 523 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 3947768 is about 1986.8990915494. The cubic root of 3947768 is about 158.0461329796.

The spelling of 3947768 in words is "three million, nine hundred forty-seven thousand, seven hundred sixty-eight".