3996768 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1198080.

The previous prime is 3996763. The next prime is 3996791. The reversal of 3996768 is 8676993.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50553 + ... + 50631.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^3996768 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 3996768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3996768 is an abundant number, since it is smaller than the sum of its proper divisors (7615392).

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

3996768 is a wasteful number, since it uses less digits than its factorization.

3996768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 3996768 is about 1999.1918367180. The cubic root of 3996768 is about 158.6973396749.

The spelling of 3996768 in words is "three million, nine hundred ninety-six thousand, seven hundred sixty-eight".