38770627896 has 1152 divisors, whose sum is σ = 154404956160. Its totient is φ = 8622028800.

The previous prime is 38770627877. The next prime is 38770627939. The reversal of 38770627896 is 69872607783.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 578666055 + ... + 578666121.

It is an arithmetic number, because the mean of its divisors is an integer number (134032080).

Almost surely, 2^38770627896 is an apocalyptic number.

38770627896 is a gapful number since it is divisible by the number (36) 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 38770627896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77202478080).

38770627896 is an abundant number, since it is smaller than the sum of its proper divisors (115634328264).

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

38770627896 is a wasteful number, since it uses less digits than its factorization.

38770627896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

It can be divided in two parts, 38770 and 627896, that added together give a palindrome (666666).

The spelling of 38770627896 in words is "thirty-eight billion, seven hundred seventy million, six hundred twenty-seven thousand, eight hundred ninety-six".