38771617489920 has 3520 divisors, whose sum is σ = 174820448918016. Its totient is φ = 8049257349120.

The previous prime is 38771617489841. The next prime is 38771617489999. The reversal of 38771617489920 is 2998471617783.

38771617489920 is a `hidden beast` number, since 3 + 87 + 7 + 1 + 61 + 7 + 489 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38771617489841) and next prime (38771617489999).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 635600286690 + ... + 635600286750.

Almost surely, 2^{38771617489920} is an apocalyptic number.

38771617489920 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 38771617489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87410224459008).

38771617489920 is an abundant number, since it is smaller than the sum of its proper divisors (136048831428096).

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

38771617489920 is an frugal number, since it uses more digits than its factorization.

38771617489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 38771617489920 in words is "thirty-eight trillion, seven hundred seventy-one billion, six hundred seventeen million, four hundred eighty-nine thousand, nine hundred twenty".