38968171200 has 1008 divisors, whose sum is σ = 169653204000. Its totient is φ = 8670412800.

The previous prime is 38968171139. The next prime is 38968171217. The reversal of 38968171200 is 217186983.

38968171200 is a `hidden beast` number, since 389 + 68 + 1 + 7 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 86788576 + ... + 86789024.

It is an arithmetic number, because the mean of its divisors is an integer number (168306750).

Almost surely, 2^38968171200 is an apocalyptic number.

38968171200 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 38968171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84826602000).

38968171200 is an abundant number, since it is smaller than the sum of its proper divisors (130685032800).

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

38968171200 is a wasteful number, since it uses less digits than its factorization.

38968171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 38968171200 in words is "thirty-eight billion, nine hundred sixty-eight million, one hundred seventy-one thousand, two hundred".