3258840 has 64 divisors (see below), whose sum is σ = 10533600. Its totient is φ = 801792.

The previous prime is 3258797. The next prime is 3258863. The reversal of 3258840 is 488523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3⁷ + 2⁵ + 5⁷ + 8⁵ + 8⁷ + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3258798 and 3258807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 516 + ... + 2604.

Almost surely, 2^3258840 is an apocalyptic number.

3258840 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 3258840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266800).

3258840 is an abundant number, since it is smaller than the sum of its proper divisors (7274760).

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

3258840 is a wasteful number, since it uses less digits than its factorization.

3258840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3258840 is about 1805.2257476560. The cubic root of 3258840 is about 148.2589816606.

The spelling of 3258840 in words is "three million, two hundred fifty-eight thousand, eight hundred forty".