3187968 has 72 divisors (see below), whose sum is σ = 9713088. Its totient is φ = 909312.

The previous prime is 3187967. The next prime is 3187969. The reversal of 3187968 is 8697813.

It is an interprime number because it is at equal distance from previous prime (3187967) and next prime (3187969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3187967) 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, 5080 + ... + 5672.

It is an arithmetic number, because the mean of its divisors is an integer number (134904).

Almost surely, 2^3187968 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 3187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856544).

3187968 is an abundant number, since it is smaller than the sum of its proper divisors (6525120).

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

3187968 is an equidigital number, since it uses as much as digits as its factorization.

3187968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 605 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 3187968 is about 1785.4881685410. The cubic root of 3187968 is about 147.1763352001.

The spelling of 3187968 in words is "three million, one hundred eighty-seven thousand, nine hundred sixty-eight".