38378114058800 has 240 divisors, whose sum is σ = 96467834850912. Its totient is φ = 14661911347200.

The previous prime is 38378114058763. The next prime is 38378114058863. The reversal of 38378114058800 is 885041187383.

It is a super-3 number, since 3×38378114058800³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125287427 + ... + 125593373.

Almost surely, 2^{38378114058800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38378114058800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48233917425456).

38378114058800 is an abundant number, since it is smaller than the sum of its proper divisors (58089720792112).

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

38378114058800 is a wasteful number, since it uses less digits than its factorization.

38378114058800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306176 (or 306165 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 56.

The spelling of 38378114058800 in words is "thirty-eight trillion, three hundred seventy-eight billion, one hundred fourteen million, fifty-eight thousand, eight hundred".