3248553600 has 480 divisors, whose sum is σ = 12212655840. Its totient is φ = 850176000.

The previous prime is 3248553599. The next prime is 3248553601. The reversal of 3248553600 is 63558423.

It is a happy number.

3248553600 is a `hidden beast` number, since 3 + 2 + 48 + 5 + 5 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3248553599) and next prime (3248553601).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (3248553601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21513525 + ... + 21513675.

It is an arithmetic number, because the mean of its divisors is an integer number (25443033).

Almost surely, 2^3248553600 is an apocalyptic number.

3248553600 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 3248553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106327920).

3248553600 is an abundant number, since it is smaller than the sum of its proper divisors (8964102240).

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

3248553600 is a wasteful number, since it uses less digits than its factorization.

3248553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

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

The square root of 3248553600 is about 56996.0840760135. The cubic root of 3248553600 is about 1481.0282603505.

It can be divided in two parts, 324855 and 3600, that added together give a triangular number (328455 = T₈₁₀).

The spelling of 3248553600 in words is "three billion, two hundred forty-eight million, five hundred fifty-three thousand, six hundred".