3037968 has 90 divisors (see below), whose sum is σ = 9155354. Its totient is φ = 940032.

The previous prime is 3037963. The next prime is 3037973. The reversal of 3037968 is 8697303.

It is an interprime number because it is at equal distance from previous prime (3037963) and next prime (3037973).

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 1710864 = 1152^2 + 1308^2 .

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 (3037963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41580 + ... + 41652.

Almost surely, 2^3037968 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 3037968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577677).

3037968 is an abundant number, since it is smaller than the sum of its proper divisors (6117386).

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

3037968 is a wasteful number, since it uses less digits than its factorization.

3037968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3037968 is about 1742.9767640448. The cubic root of 3037968 is about 144.8308451530.

It can be divided in two parts, 3037 and 968, that added together give a triangular number (4005 = T₈₉).

The spelling of 3037968 in words is "three million, thirty-seven thousand, nine hundred sixty-eight".