2838380335200 has 864 divisors, whose sum is σ = 10590075004320. Its totient is φ = 733556736000.

The previous prime is 2838380335177. The next prime is 2838380335207. The reversal of 2838380335200 is 25330838382.

2838380335200 is a `hidden beast` number, since 2 + 8 + 38 + 3 + 80 + 335 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838380335207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7078255000 + ... + 7078255400.

It is an arithmetic number, because the mean of its divisors is an integer number (12257031255).

Almost surely, 2^{2838380335200} is an apocalyptic number.

2838380335200 is a gapful number since it is divisible by the number (20) 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 2838380335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295037502160).

2838380335200 is an abundant number, since it is smaller than the sum of its proper divisors (7751694669120).

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

2838380335200 is a wasteful number, since it uses less digits than its factorization.

2838380335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2838380335200 in words is "two trillion, eight hundred thirty-eight billion, three hundred eighty million, three hundred thirty-five thousand, two hundred".