3300804864 has 288 divisors, whose sum is σ = 11814647040. Its totient is φ = 887390208.

The previous prime is 3300804823. The next prime is 3300804869. The reversal of 3300804864 is 4684080033.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300804869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820522 + ... + 824534.

It is an arithmetic number, because the mean of its divisors is an integer number (41023080).

Almost surely, 2^3300804864 is an apocalyptic number.

3300804864 is a gapful number since it is divisible by the number (34) 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 3300804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907323520).

3300804864 is an abundant number, since it is smaller than the sum of its proper divisors (8513842176).

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

3300804864 is a wasteful number, since it uses less digits than its factorization.

3300804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3300804864 is about 57452.6314802029. The cubic root of 3300804864 is about 1488.9265821039.

Adding to 3300804864 its reverse (4684080033), we get a palindrome (7984884897).

The spelling of 3300804864 in words is "three billion, three hundred million, eight hundred four thousand, eight hundred sixty-four".