3811968 has 64 divisors (see below), whose sum is σ = 11260800. Its totient is φ = 1269504.

The previous prime is 3811967. The next prime is 3811979. The reversal of 3811968 is 8691183.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3811968² = 29062200066048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (3811967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2905 + ... + 4007.

It is an arithmetic number, because the mean of its divisors is an integer number (175950).

Almost surely, 2^3811968 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 3811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630400).

3811968 is an abundant number, since it is smaller than the sum of its proper divisors (7448832).

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

3811968 is a wasteful number, since it uses less digits than its factorization.

3811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1108 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 3811968 is about 1952.4261829836. The cubic root of 3811968 is about 156.2127275363.

The spelling of 3811968 in words is "three million, eight hundred eleven thousand, nine hundred sixty-eight".