3486288 has 80 divisors (see below), whose sum is σ = 10027136. Its totient is φ = 1036800.

The previous prime is 3486283. The next prime is 3486289. The reversal of 3486288 is 8826843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23013 + ... + 23163.

Almost surely, 2^3486288 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 3486288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013568).

3486288 is an abundant number, since it is smaller than the sum of its proper divisors (6540848).

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

3486288 is a wasteful number, since it uses less digits than its factorization.

3486288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 3486288 is about 1867.1604108914. The cubic root of 3486288 is about 151.6309143008.

The spelling of 3486288 in words is "three million, four hundred eighty-six thousand, two hundred eighty-eight".