3451008 has 128 divisors (see below), whose sum is σ = 10771200. Its totient is φ = 967680.

The previous prime is 3451003. The next prime is 3451009. The reversal of 3451008 is 8001543.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3451003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80235 + ... + 80277.

It is an arithmetic number, because the mean of its divisors is an integer number (84150).

Almost surely, 2^3451008 is an apocalyptic number.

3451008 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 3451008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385600).

3451008 is an abundant number, since it is smaller than the sum of its proper divisors (7320192).

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

3451008 is a wasteful number, since it uses less digits than its factorization.

3451008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3451008 is about 1857.6888867623. The cubic root of 3451008 is about 151.1176954711.

The spelling of 3451008 in words is "three million, four hundred fifty-one thousand, eight".