3484800 has 216 divisors, whose sum is σ = 13667745. Its totient is φ = 844800.

The previous prime is 3484783. The next prime is 3484829. The reversal of 3484800 is 84843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 69696 = 1848^2 + 264^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1320.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 316795 + ... + 316805.

Almost surely, 2^3484800 is an apocalyptic number.

3484800 is a gapful number since it is divisible by the number (30) 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 3484800

3484800 is an abundant number, since it is smaller than the sum of its proper divisors (10182945).

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

3484800 is a wasteful number, since it uses less digits than its factorization.

3484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3484800 is about 1866.7619023325. The cubic root of 3484800 is about 151.6093384482.

The spelling of 3484800 in words is "three million, four hundred eighty-four thousand, eight hundred".