3483864 has 48 divisors (see below), whose sum is σ = 9754200. Its totient is φ = 1152144.

The previous prime is 3483863. The next prime is 3483869. The reversal of 3483864 is 4683843.

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 is a Harshad number since it is a multiple of its sum of digits (36).

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 (3483863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27369 + ... + 27495.

Almost surely, 2^3483864 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 3483864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877100).

3483864 is an abundant number, since it is smaller than the sum of its proper divisors (6270336).

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

3483864 is a wasteful number, since it uses less digits than its factorization.

3483864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 132 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3483864 is about 1866.5111840008. The cubic root of 3483864 is about 151.5957633939.

Multiplying 3483864 by its product of digits (55296), we get a square (192643743744 = 438912²).

The spelling of 3483864 in words is "three million, four hundred eighty-three thousand, eight hundred sixty-four".