3181968 has 60 divisors (see below), whose sum is σ = 9381840. Its totient is φ = 1003968.

The previous prime is 3181951. The next prime is 3181973. The reversal of 3181968 is 8691813.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2155 + ... + 3317.

It is an arithmetic number, because the mean of its divisors is an integer number (156364).

Almost surely, 2^3181968 is an apocalyptic number.

3181968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690920).

3181968 is an abundant number, since it is smaller than the sum of its proper divisors (6199872).

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

3181968 is a wasteful number, since it uses less digits than its factorization.

3181968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1187 counting only the distinct ones).

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

The square root of 3181968 is about 1783.8071644659. The cubic root of 3181968 is about 147.0839448347.

3181968 divided by its sum of digits (36) gives a palindrome (88388).

The spelling of 3181968 in words is "three million, one hundred eighty-one thousand, nine hundred sixty-eight".