3243261600 has 144 divisors (see below), whose sum is σ = 11729874240. Its totient is φ = 864864000.

The previous prime is 3243261587. The next prime is 3243261607. The reversal of 3243261600 is 61623423.

3243261600 is a `hidden beast` number, since 3 + 2 + 43 + 2 + 616 + 0 + 0 = 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 (27).

It is not an unprimeable number, because it can be changed into a prime (3243261607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53476 + ... + 96675.

It is an arithmetic number, because the mean of its divisors is an integer number (81457460).

Almost surely, 2^3243261600 is an apocalyptic number.

3243261600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3243261600 is an abundant number, since it is smaller than the sum of its proper divisors (8486612640).

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

3243261600 is a wasteful number, since it uses less digits than its factorization.

3243261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150180 (or 150161 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3243261600 is about 56949.6409119496. The cubic root of 3243261600 is about 1480.2236087754.

The spelling of 3243261600 in words is "three billion, two hundred forty-three million, two hundred sixty-one thousand, six hundred".