38670898345200 has 1080 divisors, whose sum is σ = 150431598303168. Its totient is φ = 9189987840000.

The previous prime is 38670898345181. The next prime is 38670898345231. The reversal of 38670898345200 is 254389807683.

38670898345200 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 0 + 89 + 8 + 345 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8423194905 + ... + 8423199495.

Almost surely, 2^{38670898345200} is an apocalyptic number.

38670898345200 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 38670898345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75215799151584).

38670898345200 is an abundant number, since it is smaller than the sum of its proper divisors (111760699957968).

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

38670898345200 is a wasteful number, since it uses less digits than its factorization.

38670898345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 38670898345200 in words is "thirty-eight trillion, six hundred seventy billion, eight hundred ninety-eight million, three hundred forty-five thousand, two hundred".