3253208400 has 960 divisors, whose sum is σ = 13949107200. Its totient is φ = 712212480.

The previous prime is 3253208393. The next prime is 3253208401. The reversal of 3253208400 is 48023523.

3253208400 is a `hidden beast` number, since 3 + 2 + 53 + 208 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253208401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 69217177 + ... + 69217223.

It is an arithmetic number, because the mean of its divisors is an integer number (14530320).

Almost surely, 2^3253208400 is an apocalyptic number.

3253208400 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 3253208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974553600).

3253208400 is an abundant number, since it is smaller than the sum of its proper divisors (10695898800).

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

3253208400 is a wasteful number, since it uses less digits than its factorization.

3253208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3253208400 is about 57036.9038430383. The cubic root of 3253208400 is about 1481.7353032480.

The spelling of 3253208400 in words is "three billion, two hundred fifty-three million, two hundred eight thousand, four hundred".