3261600 has 144 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 864000.

The previous prime is 3261581. The next prime is 3261617. The reversal of 3261600 is 61623.

It is a happy number.

3261600 is a `hidden beast` number, since 3 + 2 + 61 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21525 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

Almost surely, 2^3261600 is an apocalyptic number.

3261600 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 3261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

3261600 is an abundant number, since it is smaller than the sum of its proper divisors (8612640).

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

3261600 is a wasteful number, since it uses less digits than its factorization.

3261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3261600 is about 1805.9900331951. The cubic root of 3261600 is about 148.3008247013.

The spelling of 3261600 in words is "three million, two hundred sixty-one thousand, six hundred".