38971253200 has 240 divisors, whose sum is σ = 107695964160. Its totient is φ = 13420224000.

The previous prime is 38971253179. The next prime is 38971253227. The reversal of 38971253200 is 235217983.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6407761 + ... + 6413839.

It is an arithmetic number, because the mean of its divisors is an integer number (448733184).

Almost surely, 2^38971253200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38971253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53847982080).

38971253200 is an abundant number, since it is smaller than the sum of its proper divisors (68724710960).

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

38971253200 is a wasteful number, since it uses less digits than its factorization.

38971253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 38971253200 in words is "thirty-eight billion, nine hundred seventy-one million, two hundred fifty-three thousand, two hundred".