3001968 has 40 divisors (see below), whose sum is σ = 8618000. Its totient is φ = 1000512.

The previous prime is 3001963. The next prime is 3001991. The reversal of 3001968 is 8691003.

It is a super-3 number, since 3×3001968³ = 81159512594514333696, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001963) 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, 3043 + ... + 3906.

It is an arithmetic number, because the mean of its divisors is an integer number (215450).

Almost surely, 2^3001968 is an apocalyptic number.

It is an amenable number.

3001968 is an abundant number, since it is smaller than the sum of its proper divisors (5616032).

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

3001968 is a wasteful number, since it uses less digits than its factorization.

3001968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3001968 is about 1732.6188270938. The cubic root of 3001968 is about 144.2564873277.

It can be divided in two parts, 3001 and 968, that added together give a square (3969 = 63²).

The spelling of 3001968 in words is "three million, one thousand, nine hundred sixty-eight".