84338740200 has 576 divisors, whose sum is σ = 312909972480. Its totient is φ = 18625152000.

The previous prime is 84338740169. The next prime is 84338740201. The reversal of 84338740200 is 204783348.

It is a super-2 number, since 2×84338740200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (84338740201) 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, 92577745 + ... + 92578655.

It is an arithmetic number, because the mean of its divisors is an integer number (543246480).

Almost surely, 2^84338740200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84338740200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156454986240).

84338740200 is an abundant number, since it is smaller than the sum of its proper divisors (228571232280).

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

84338740200 is a wasteful number, since it uses less digits than its factorization.

84338740200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 84338740200 in words is "eighty-four billion, three hundred thirty-eight million, seven hundred forty thousand, two hundred".