3299788800 has 1152 divisors, whose sum is σ = 15599001600. Its totient is φ = 663552000.

The previous prime is 3299788787. The next prime is 3299788801. The reversal of 3299788800 is 88879923.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3299788800² = 21777212249210880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299788801) 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 95 ways as a sum of consecutive naturals, for example, 106444785 + ... + 106444815.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^3299788800 is an apocalyptic number.

3299788800 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 3299788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

3299788800 is an abundant number, since it is smaller than the sum of its proper divisors (12299212800).

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

3299788800 is a wasteful number, since it uses less digits than its factorization.

3299788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 3299788800 is about 57443.7881759203. The cubic root of 3299788800 is about 1488.7737910911.

The spelling of 3299788800 in words is "three billion, two hundred ninety-nine million, seven hundred eighty-eight thousand, eight hundred".