3245721600 has 576 divisors, whose sum is σ = 12503574720. Its totient is φ = 734003200.

The previous prime is 3245721599. The next prime is 3245721649. The reversal of 3245721600 is 61275423.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 28723144 + ... + 28723256.

It is an arithmetic number, because the mean of its divisors is an integer number (21707595).

Almost surely, 2^3245721600 is an apocalyptic number.

3245721600 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 3245721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251787360).

3245721600 is an abundant number, since it is smaller than the sum of its proper divisors (9257853120).

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

3245721600 is a wasteful number, since it uses less digits than its factorization.

3245721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3245721600 is about 56971.2348470700. The cubic root of 3245721600 is about 1480.5977619443.

The spelling of 3245721600 in words is "three billion, two hundred forty-five million, seven hundred twenty-one thousand, six hundred".