4316684400 has 450 divisors, whose sum is σ = 18028206240. Its totient is φ = 986307840.

The previous prime is 4316684369. The next prime is 4316684401. The reversal of 4316684400 is 44866134.

It is a tau number, because it is divible by the number of its divisors (450).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4316684401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1586241 + ... + 1588959.

Almost surely, 2^4316684400 is an apocalyptic number.

4316684400 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 4316684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014103120).

4316684400 is an abundant number, since it is smaller than the sum of its proper divisors (13711521840).

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

4316684400 is a wasteful number, since it uses less digits than its factorization.

4316684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2736 counting only the distinct ones).

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

The square root of 4316684400 is about 65701.4794353978. The cubic root of 4316684400 is about 1628.2338002110.

The spelling of 4316684400 in words is "four billion, three hundred sixteen million, six hundred eighty-four thousand, four hundred".