3457968 has 40 divisors (see below), whose sum is σ = 9087216. Its totient is φ = 1132800.

The previous prime is 3457967. The next prime is 3457969. The reversal of 3457968 is 8697543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3457967) and next prime (3457969).

It is not an unprimeable number, because it can be changed into a prime (3457967) 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, 2338 + ... + 3518.

Almost surely, 2^3457968 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 3457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543608).

3457968 is an abundant number, since it is smaller than the sum of its proper divisors (5629248).

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

3457968 is a wasteful number, since it uses less digits than its factorization.

3457968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3457968 is about 1859.5612385722. The cubic root of 3457968 is about 151.2192187435.

The spelling of 3457968 in words is "three million, four hundred fifty-seven thousand, nine hundred sixty-eight".