38966199360 has 224 divisors, whose sum is σ = 135578161152. Its totient is φ = 9403422720.

The previous prime is 38966199359. The next prime is 38966199361. The reversal of 38966199360 is 6399166983.

It is an interprime number because it is at equal distance from previous prime (38966199359) and next prime (38966199361).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38966199294 and 38966199303.

It is not an unprimeable number, because it can be changed into a prime (38966199361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2346607 + ... + 2363153.

It is an arithmetic number, because the mean of its divisors is an integer number (605259648).

Almost surely, 2^38966199360 is an apocalyptic number.

38966199360 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 38966199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67789080576).

38966199360 is an abundant number, since it is smaller than the sum of its proper divisors (96611961792).

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

38966199360 is a wasteful number, since it uses less digits than its factorization.

38966199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16801 (or 16791 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 60.

The spelling of 38966199360 in words is "thirty-eight billion, nine hundred sixty-six million, one hundred ninety-nine thousand, three hundred sixty".