38378815800 has 768 divisors, whose sum is σ = 142550876160. Its totient is φ = 8453652480.

The previous prime is 38378815781. The next prime is 38378815801. The reversal of 38378815800 is 851887383.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38378815801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 302195337 + ... + 302195463.

It is an arithmetic number, because the mean of its divisors is an integer number (185613120).

Almost surely, 2^38378815800 is an apocalyptic number.

38378815800 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 38378815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71275438080).

38378815800 is an abundant number, since it is smaller than the sum of its proper divisors (104172060360).

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

38378815800 is a wasteful number, since it uses less digits than its factorization.

38378815800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 38378815800 in words is "thirty-eight billion, three hundred seventy-eight million, eight hundred fifteen thousand, eight hundred".