3259872 has 192 divisors, whose sum is σ = 12096000. Its totient is φ = 846720.

The previous prime is 3259853. The next prime is 3259891. The reversal of 3259872 is 2789523.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3259853) and next prime (3259891).

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

It is a d-powerful number, because it can be written as 3¹³ + 2¹⁶ + 5⁵ + 9⁶ + 8² + 7⁵ + 2²⁰ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296347 + ... + 296357.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

Almost surely, 2^3259872 is an apocalyptic number.

3259872 is a gapful number since it is divisible by the number (32) 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 3259872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3259872 is an abundant number, since it is smaller than the sum of its proper divisors (8836128).

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

3259872 is a wasteful number, since it uses less digits than its factorization.

3259872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3259872 is about 1805.5115618572. The cubic root of 3259872 is about 148.2746300837.

The spelling of 3259872 in words is "three million, two hundred fifty-nine thousand, eight hundred seventy-two".