38777937408 has 400 divisors, whose sum is σ = 133091481600. Its totient is φ = 11011313664.

The previous prime is 38777937403. The next prime is 38777937409. The reversal of 38777937408 is 80473977783.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38777937403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64737493 + ... + 64738091.

It is an arithmetic number, because the mean of its divisors is an integer number (332728704).

Almost surely, 2^38777937408 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 38777937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66545740800).

38777937408 is an abundant number, since it is smaller than the sum of its proper divisors (94313544192).

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

38777937408 is an equidigital number, since it uses as much as digits as its factorization.

38777937408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 38777937408 in words is "thirty-eight billion, seven hundred seventy-seven million, nine hundred thirty-seven thousand, four hundred eight".