38727878400 has 972 divisors, whose sum is σ = 153055995456. Its totient is φ = 9326592000.

The previous prime is 38727878383. The next prime is 38727878443. The reversal of 38727878400 is 487872783.

It is a happy number.

38727878400 is a `hidden beast` number, since 38 + 72 + 78 + 78 + 400 = 666.

It is a super-6 number, since 6×38727878400⁶ (a number of 65 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 944582380 + ... + 944582420.

Almost surely, 2^38727878400 is an apocalyptic number.

38727878400 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 38727878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527997728).

38727878400 is an abundant number, since it is smaller than the sum of its proper divisors (114328117056).

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

38727878400 is a wasteful number, since it uses less digits than its factorization.

38727878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 38727878400 in words is "thirty-eight billion, seven hundred twenty-seven million, eight hundred seventy-eight thousand, four hundred".