38116310400 has 1536 divisors, whose sum is σ = 174845952000. Its totient is φ = 7912857600.

The previous prime is 38116310383. The next prime is 38116310411. The reversal of 38116310400 is 401361183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 356227147 + ... + 356227253.

It is an arithmetic number, because the mean of its divisors is an integer number (113832000).

Almost surely, 2^38116310400 is an apocalyptic number.

38116310400 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 38116310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87422976000).

38116310400 is an abundant number, since it is smaller than the sum of its proper divisors (136729641600).

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

38116310400 is a wasteful number, since it uses less digits than its factorization.

38116310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 38116310400 its reverse (401361183), we get a palindrome (38517671583).

The spelling of 38116310400 in words is "thirty-eight billion, one hundred sixteen million, three hundred ten thousand, four hundred".