3968496 has 120 divisors (see below), whose sum is σ = 13205504. Its totient is φ = 1088640.

The previous prime is 3968491. The next prime is 3968501. The reversal of 3968496 is 6948693.

It is an interprime number because it is at equal distance from previous prime (3968491) and next prime (3968501).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31185 + ... + 31311.

Almost surely, 2^3968496 is an apocalyptic number.

3968496 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 3968496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602752).

3968496 is an abundant number, since it is smaller than the sum of its proper divisors (9237008).

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

3968496 is a wasteful number, since it uses less digits than its factorization.

3968496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3968496 is about 1992.1084307838. The cubic root of 3968496 is about 158.3222605984.

The spelling of 3968496 in words is "three million, nine hundred sixty-eight thousand, four hundred ninety-six".