3712968 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1033344.

The previous prime is 3712949. The next prime is 3712979. The reversal of 3712968 is 8692173.

3712968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3712968² = 27572262738048, 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 one of the 548 Lynch-Bell numbers.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26643 + ... + 26781.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^3712968 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 3712968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3712968 is an abundant number, since it is smaller than the sum of its proper divisors (8080632).

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

3712968 is a wasteful number, since it uses less digits than its factorization.

3712968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3712968 is about 1926.9063288079. The cubic root of 3712968 is about 154.8485235379.

The spelling of 3712968 in words is "three million, seven hundred twelve thousand, nine hundred sixty-eight".