3145968 has 60 divisors (see below), whose sum is σ = 10065328. Its totient is φ = 898560.

The previous prime is 3145943. The next prime is 3145981. The reversal of 3145968 is 8695413.

It is a super-2 number, since 2×3145968² = 19794229314048, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3² + 1 + 4¹⁰ + 5 + 9 + 6³ + 8⁷ .

It is a zygodrome in base 2.

It is a congruent number.

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, 553 + ... + 2568.

Almost surely, 2^3145968 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 3145968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032664).

3145968 is an abundant number, since it is smaller than the sum of its proper divisors (6919360).

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

3145968 is a wasteful number, since it uses less digits than its factorization.

3145968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3133 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3145968 is about 1773.6876838948. The cubic root of 3145968 is about 146.5271492354.

The spelling of 3145968 in words is "three million, one hundred forty-five thousand, nine hundred sixty-eight".