4373678400 has 1344 divisors, whose sum is σ = 20318699520. Its totient is φ = 796262400.

The previous prime is 4373678377. The next prime is 4373678401. The reversal of 4373678400 is 48763734.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4373678401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141086385 + ... + 141086415.

It is an arithmetic number, because the mean of its divisors is an integer number (15118080).

Almost surely, 2^4373678400 is an apocalyptic number.

4373678400 is a gapful number since it is divisible by the number (40) 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 4373678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159349760).

4373678400 is an abundant number, since it is smaller than the sum of its proper divisors (15945021120).

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

4373678400 is a wasteful number, since it uses less digits than its factorization.

4373678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 4373678400 is about 66133.7916650785. The cubic root of 4373678400 is about 1635.3684512234.

The spelling of 4373678400 in words is "four billion, three hundred seventy-three million, six hundred seventy-eight thousand, four hundred".