3691968 has 112 divisors (see below), whose sum is σ = 11606784. Its totient is φ = 1013760.

The previous prime is 3691957. The next prime is 3692021. The reversal of 3691968 is 8691963.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55071 + ... + 55137.

It is an arithmetic number, because the mean of its divisors is an integer number (103632).

Almost surely, 2^3691968 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 3691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803392).

3691968 is an abundant number, since it is smaller than the sum of its proper divisors (7914816).

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

3691968 is a wasteful number, since it uses less digits than its factorization.

3691968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 3691968 is about 1921.4494528871. The cubic root of 3691968 is about 154.5560379457.

The spelling of 3691968 in words is "three million, six hundred ninety-one thousand, nine hundred sixty-eight".