38398677811200 has 2448 divisors, whose sum is σ = 169164384929280. Its totient is φ = 8126547886080.

The previous prime is 38398677811171. The next prime is 38398677811253. The reversal of 38398677811200 is 211877689383.

38398677811200 is a `hidden beast` number, since 3 + 8 + 398 + 67 + 78 + 112 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

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 143 ways as a sum of consecutive naturals, for example, 138623385462 + ... + 138623385738.

Almost surely, 2^{38398677811200} is an apocalyptic number.

38398677811200 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 38398677811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84582192464640).

38398677811200 is an abundant number, since it is smaller than the sum of its proper divisors (130765707118080).

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

38398677811200 is a wasteful number, since it uses less digits than its factorization.

38398677811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 38398677811200 in words is "thirty-eight trillion, three hundred ninety-eight billion, six hundred seventy-seven million, eight hundred eleven thousand, two hundred".