13847030400 has 1152 divisors, whose sum is σ = 59641896960. Its totient is φ = 2757427200.

The previous prime is 13847030371. The next prime is 13847030419. The reversal of 13847030400 is 403074831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 446678385 + ... + 446678415.

It is an arithmetic number, because the mean of its divisors is an integer number (51772480).

Almost surely, 2^13847030400 is an apocalyptic number.

13847030400 is a gapful number since it is divisible by the number (10) 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 13847030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29820948480).

13847030400 is an abundant number, since it is smaller than the sum of its proper divisors (45794866560).

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

13847030400 is a wasteful number, since it uses less digits than its factorization.

13847030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 13847030400 in words is "thirteen billion, eight hundred forty-seven million, thirty thousand, four hundred".