38777978880 has 408 divisors, whose sum is σ = 139694423232. Its totient is φ = 10319560704.

The previous prime is 38777978879. The next prime is 38777978881. The reversal of 38777978880 is 8887977783.

38777978880 is a `hidden beast` number, since 387 + 7 + 7 + 97 + 88 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (38777978879) and next prime (38777978881).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38777978799 and 38777978808.

It is not an unprimeable number, because it can be changed into a prime (38777978881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79625997 + ... + 79626483.

Almost surely, 2^38777978880 is an apocalyptic number.

38777978880 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 38777978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69847211616).

38777978880 is an abundant number, since it is smaller than the sum of its proper divisors (100916444352).

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

38777978880 is an frugal number, since it uses more digits than its factorization.

38777978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 265531392, while the sum is 72.

The spelling of 38777978880 in words is "thirty-eight billion, seven hundred seventy-seven million, nine hundred seventy-eight thousand, eight hundred eighty".