38608003209600 has 1536 divisors, whose sum is σ = 164267771904000. Its totient is φ = 8761866854400.

The previous prime is 38608003209569. The next prime is 38608003209673. The reversal of 38608003209600 is 690230080683.

38608003209600 is a `hidden beast` number, since 3 + 8 + 6 + 0 + 8 + 0 + 0 + 32 + 0 + 9 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1027363611 + ... + 1027401189.

It is an arithmetic number, because the mean of its divisors is an integer number (106945164000).

Almost surely, 2^{38608003209600} is an apocalyptic number.

38608003209600 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 38608003209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82133885952000).

38608003209600 is an abundant number, since it is smaller than the sum of its proper divisors (125659768694400).

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

38608003209600 is a wasteful number, since it uses less digits than its factorization.

38608003209600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37693 (or 37670 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38608003209600 in words is "thirty-eight trillion, six hundred eight billion, three million, two hundred nine thousand, six hundred".