3936768 has 80 divisors (see below), whose sum is σ = 11490336. Its totient is φ = 1187840.

The previous prime is 3936733. The next prime is 3936769. The reversal of 3936768 is 8676393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3936769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16780 + ... + 17012.

Almost surely, 2^3936768 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 3936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745168).

3936768 is an abundant number, since it is smaller than the sum of its proper divisors (7553568).

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

3936768 is a wasteful number, since it uses less digits than its factorization.

3936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3936768 is about 1984.1290280624. The cubic root of 3936768 is about 157.8992039906.

The spelling of 3936768 in words is "three million, nine hundred thirty-six thousand, seven hundred sixty-eight".