3264093600 has 288 divisors, whose sum is σ = 11429268480. Its totient is φ = 806538240.

The previous prime is 3264093557. The next prime is 3264093611. The reversal of 3264093600 is 63904623.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2142439 + ... + 2143961.

It is an arithmetic number, because the mean of its divisors is an integer number (39684960).

Almost surely, 2^3264093600 is an apocalyptic number.

3264093600 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 3264093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714634240).

3264093600 is an abundant number, since it is smaller than the sum of its proper divisors (8165174880).

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

3264093600 is a wasteful number, since it uses less digits than its factorization.

3264093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3264093600 is about 57132.2465863194. The cubic root of 3264093600 is about 1483.3860868612.

The spelling of 3264093600 in words is "three billion, two hundred sixty-four million, ninety-three thousand, six hundred".