3255411600 has 720 divisors, whose sum is σ = 14161296000. Its totient is φ = 695623680.

The previous prime is 3255411563. The next prime is 3255411613. The reversal of 3255411600 is 61145523.

3255411600 is a `hidden beast` number, since 3 + 2 + 5 + 54 + 1 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21848326 + ... + 21848474.

Almost surely, 2^3255411600 is an apocalyptic number.

3255411600 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 3255411600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080648000).

3255411600 is an abundant number, since it is smaller than the sum of its proper divisors (10905884400).

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

3255411600 is a wasteful number, since it uses less digits than its factorization.

3255411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3255411600 is about 57056.2143854637. The cubic root of 3255411600 is about 1482.0697241369.

The spelling of 3255411600 in words is "three billion, two hundred fifty-five million, four hundred eleven thousand, six hundred".