38314214400 has 1584 divisors, whose sum is σ = 172846714880. Its totient is φ = 7299072000.

The previous prime is 38314214339. The next prime is 38314214401. The reversal of 38314214400 is 441241383.

It is a super-3 number, since 3×38314214400³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1235942385 + ... + 1235942415.

Almost surely, 2^38314214400 is an apocalyptic number.

38314214400 is a gapful number since it is divisible by the number (30) 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 38314214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423357440).

38314214400 is an abundant number, since it is smaller than the sum of its proper divisors (134532500480).

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

38314214400 is a wasteful number, since it uses less digits than its factorization.

38314214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 38314214400 its reverse (441241383), we get a palindrome (38755455783).

The spelling of 38314214400 in words is "thirty-eight billion, three hundred fourteen million, two hundred fourteen thousand, four hundred".