38669273121600 has 3528 divisors, whose sum is σ = 169113028198464. Its totient is φ = 8660348928000.

The previous prime is 38669273121599. The next prime is 38669273121653. The reversal of 38669273121600 is 612137296683.

38669273121600 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 9 + 2 + 7 + 3 + 1 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 170349220687 + ... + 170349220913.

Almost surely, 2^{38669273121600} is an apocalyptic number.

38669273121600 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 38669273121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84556514099232).

38669273121600 is an abundant number, since it is smaller than the sum of its proper divisors (130443755076864).

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

38669273121600 is a wasteful number, since it uses less digits than its factorization.

38669273121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 38669273121600 in words is "thirty-eight trillion, six hundred sixty-nine billion, two hundred seventy-three million, one hundred twenty-one thousand, six hundred".