3795968 has 44 divisors (see below), whose sum is σ = 8302632. Its totient is φ = 1720320.

The previous prime is 3795959. The next prime is 3795977. The reversal of 3795968 is 8695973.

It is an interprime number because it is at equal distance from previous prime (3795959) and next prime (3795977).

It is a tau number, because it is divible by the number of its divisors (44).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11096 + ... + 11432.

Almost surely, 2^3795968 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 3795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151316).

3795968 is an abundant number, since it is smaller than the sum of its proper divisors (4506664).

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

3795968 is a wasteful number, since it uses less digits than its factorization.

3795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The square root of 3795968 is about 1948.3244083058. The cubic root of 3795968 is about 155.9938634448.

The spelling of 3795968 in words is "three million, seven hundred ninety-five thousand, nine hundred sixty-eight".