3427840 has 80 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 1253376.

The previous prime is 3427819. The next prime is 3427843. The reversal of 3427840 is 487243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3427799 and 3427808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427843) 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 7 ways as a sum of consecutive naturals, for example, 33229 + ... + 33331.

Almost surely, 2^3427840 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 3427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

3427840 is an abundant number, since it is smaller than the sum of its proper divisors (5509088).

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

3427840 is a wasteful number, since it uses less digits than its factorization.

3427840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 3427840 is about 1851.4426807223. The cubic root of 3427840 is about 150.7787646552.

The spelling of 3427840 in words is "three million, four hundred twenty-seven thousand, eight hundred forty".