3263878800 has 960 divisors, whose sum is σ = 14827384320. Its totient is φ = 671846400.

The previous prime is 3263878769. The next prime is 3263878811. The reversal of 3263878800 is 88783623.

3263878800 is a `hidden beast` number, since 3 + 2 + 638 + 7 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 79606780 + ... + 79606820.

It is an arithmetic number, because the mean of its divisors is an integer number (15445192).

Almost surely, 2^3263878800 is an apocalyptic number.

3263878800 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 3263878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413692160).

3263878800 is an abundant number, since it is smaller than the sum of its proper divisors (11563505520).

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

3263878800 is a wasteful number, since it uses less digits than its factorization.

3263878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3263878800 is about 57130.3667063323. The cubic root of 3263878800 is about 1483.3535471161.

The spelling of 3263878800 in words is "three billion, two hundred sixty-three million, eight hundred seventy-eight thousand, eight hundred".