3285316800 has 336 divisors, whose sum is σ = 12100133280. Its totient is φ = 867041280.

The previous prime is 3285316799. The next prime is 3285316807. The reversal of 3285316800 is 86135823.

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 (3285316807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4881264 + ... + 4881936.

Almost surely, 2^3285316800 is an apocalyptic number.

3285316800 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 3285316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050066640).

3285316800 is an abundant number, since it is smaller than the sum of its proper divisors (8814816480).

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

3285316800 is a wasteful number, since it uses less digits than its factorization.

3285316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3285316800 is about 57317.6831353117. The cubic root of 3285316800 is about 1486.5941456398.

The spelling of 3285316800 in words is "three billion, two hundred eighty-five million, three hundred sixteen thousand, eight hundred".