3901968 has 120 divisors (see below), whose sum is σ = 12896000. Its totient is φ = 1100736.

The previous prime is 3901967. The next prime is 3901981. The reversal of 3901968 is 8691093.

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

It is not an unprimeable number, because it can be changed into a prime (3901967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49353 + ... + 49431.

Almost surely, 2^3901968 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 3901968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448000).

3901968 is an abundant number, since it is smaller than the sum of its proper divisors (8994032).

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

3901968 is a wasteful number, since it uses less digits than its factorization.

3901968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3901968 is about 1975.3399707392. The cubic root of 3901968 is about 157.4325637227.

The spelling of 3901968 in words is "three million, nine hundred one thousand, nine hundred sixty-eight".