3255843600 has 225 divisors, whose sum is σ = 11721938767. Its totient is φ = 865486080.

The previous prime is 3255843571. The next prime is 3255843607. The reversal of 3255843600 is 63485523.

It is a happy number.

The square root of 3255843600 is 57060.

It is a perfect power (a square), and thus also a powerful number.

3255843600 is a `hidden beast` number, since 3 + 2 + 5 + 5 + 8 + 43 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1314207504 + 1941636096 = 36252^2 + 44064^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3255843607) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10270642 + ... + 10270958.

Almost surely, 2^3255843600 is an apocalyptic number.

3255843600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3255843600 is the 57060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3255843600

3255843600 is an abundant number, since it is smaller than the sum of its proper divisors (8466095167).

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

3255843600 is an equidigital number, since it uses as much as digits as its factorization.

3255843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 3255843600 is about 1482.1352791655.

Multiplying 3255843600 by its sum of digits (36), we get a square (117210369600 = 342360²).

3255843600 divided by its sum of digits (36) gives a square (90440100 = 9510²).

The spelling of 3255843600 in words is "three billion, two hundred fifty-five million, eight hundred forty-three thousand, six hundred".