38336910796800 has 5184 divisors, whose sum is σ = 187601441489280. Its totient is φ = 7261913088000.

The previous prime is 38336910796669. The next prime is 38336910796813. The reversal of 38336910796800 is 869701963383.

38336910796800 is a `hidden beast` number, since 3 + 8 + 3 + 369 + 107 + 96 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 525163161564 + ... + 525163161636.

It is an arithmetic number, because the mean of its divisors is an integer number (36188549670).

Almost surely, 2^{38336910796800} is an apocalyptic number.

38336910796800 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 38336910796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93800720744640).

38336910796800 is an abundant number, since it is smaller than the sum of its proper divisors (149264530692480).

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

38336910796800 is a wasteful number, since it uses less digits than its factorization.

38336910796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 38336910796800 in words is "thirty-eight trillion, three hundred thirty-six billion, nine hundred ten million, seven hundred ninety-six thousand, eight hundred".