3813264000 has 1024 divisors, whose sum is σ = 17465011200. Its totient is φ = 796262400.

The previous prime is 3813263983. The next prime is 3813264023. The reversal of 3813264000 is 4623183.

It is a happy number.

3813264000 is a `hidden beast` number, since 3 + 8 + 13 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 39311952 + ... + 39312048.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^3813264000 is an apocalyptic number.

3813264000 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 3813264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8732505600).

3813264000 is an abundant number, since it is smaller than the sum of its proper divisors (13651747200).

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

3813264000 is a wasteful number, since it uses less digits than its factorization.

3813264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3813264000 is about 61751.6315573929. The cubic root of 3813264000 is about 1562.3042869534.

Adding to 3813264000 its reverse (4623183), we get a palindrome (3817887183).

The spelling of 3813264000 in words is "three billion, eight hundred thirteen million, two hundred sixty-four thousand".