38945976975360 has 3840 divisors, whose sum is σ = 185889228497280. Its totient is φ = 7705271992320.

The previous prime is 38945976975313. The next prime is 38945976975361. The reversal of 38945976975360 is 6357967954983.

38945976975360 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 5 + 9 + 76 + 9 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 38945976975360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38945976975361) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 143712092025 + ... + 143712092295.

Almost surely, 2^{38945976975360} is an apocalyptic number.

38945976975360 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 38945976975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92944614248640).

38945976975360 is an abundant number, since it is smaller than the sum of its proper divisors (146943251521920).

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

38945976975360 is a wasteful number, since it uses less digits than its factorization.

38945976975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 9258883200, while the sum is 81.

The spelling of 38945976975360 in words is "thirty-eight trillion, nine hundred forty-five billion, nine hundred seventy-six million, nine hundred seventy-five thousand, three hundred sixty".