3838464000 has 936 divisors, whose sum is σ = 17043243048. Its totient is φ = 825753600.

The previous prime is 3838463971. The next prime is 3838464013. The reversal of 3838464000 is 4648383.

3838464000 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 4 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 3822206976 = 4032^2 + 61824^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225791992 + ... + 225792008.

It is an arithmetic number, because the mean of its divisors is an integer number (18208593).

Almost surely, 2^3838464000 is an apocalyptic number.

3838464000 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 3838464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8521621524).

3838464000 is an abundant number, since it is smaller than the sum of its proper divisors (13204779048).

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

3838464000 is a wasteful number, since it uses less digits than its factorization.

3838464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 34 counting only the distinct ones).

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

The square root of 3838464000 is about 61955.3387530082. The cubic root of 3838464000 is about 1565.7382356814.

The spelling of 3838464000 in words is "three billion, eight hundred thirty-eight million, four hundred sixty-four thousand".