3968796 has 72 divisors (see below), whose sum is σ = 10657920. Its totient is φ = 1145664.

The previous prime is 3968761. The next prime is 3968801. The reversal of 3968796 is 6978693.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38481 + ... + 38583.

Almost surely, 2^3968796 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 3968796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328960).

3968796 is an abundant number, since it is smaller than the sum of its proper divisors (6689124).

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

3968796 is a wasteful number, since it uses less digits than its factorization.

3968796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 140 counting only the distinct ones).

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

The square root of 3968796 is about 1992.1837264670. The cubic root of 3968796 is about 158.3262499755.

It can be divided in two parts, 39 and 68796, that multiplied together give a square (2683044 = 1638²).

The spelling of 3968796 in words is "three million, nine hundred sixty-eight thousand, seven hundred ninety-six".