3427800 has 96 divisors (see below), whose sum is σ = 11048400. Its totient is φ = 878080.

The previous prime is 3427799. The next prime is 3427811. The reversal of 3427800 is 87243.

3427800 is nontrivially palindromic in base 9.

3427800 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17302 + ... + 17498.

Almost surely, 2^3427800 is an apocalyptic number.

3427800 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 3427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524200).

3427800 is an abundant number, since it is smaller than the sum of its proper divisors (7620600).

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

3427800 is a wasteful number, since it uses less digits than its factorization.

3427800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3427800 is about 1851.4318783039. The cubic root of 3427800 is about 150.7781781659.

The spelling of 3427800 in words is "three million, four hundred twenty-seven thousand, eight hundred".