3775968 has 72 divisors (see below), whose sum is σ = 12278448. Its totient is φ = 1078272.

The previous prime is 3775943. The next prime is 3775973. The reversal of 3775968 is 8695773.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1080 + ... + 2952.

It is an arithmetic number, because the mean of its divisors is an integer number (170534).

Almost surely, 2^3775968 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 3775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139224).

3775968 is an abundant number, since it is smaller than the sum of its proper divisors (8502480).

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

3775968 is a wasteful number, since it uses less digits than its factorization.

3775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1885 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3775968 is about 1943.1850143514. The cubic root of 3775968 is about 155.7194167471.

The spelling of 3775968 in words is "three million, seven hundred seventy-five thousand, nine hundred sixty-eight".