38773087305000 has 320 divisors, whose sum is σ = 123620091408000. Its totient is φ = 10127345280000.

The previous prime is 38773087304921. The next prime is 38773087305031. The reversal of 38773087305000 is 50378037783.

It is a super-2 number, since 2×38773087305000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 476164290 + ... + 476245710.

It is an arithmetic number, because the mean of its divisors is an integer number (386312785650).

Almost surely, 2^{38773087305000} is an apocalyptic number.

38773087305000 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 38773087305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810045704000).

38773087305000 is an abundant number, since it is smaller than the sum of its proper divisors (84847004103000).

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

38773087305000 is a wasteful number, since it uses less digits than its factorization.

38773087305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82102 (or 82083 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 38773087305000 in words is "thirty-eight trillion, seven hundred seventy-three billion, eighty-seven million, three hundred five thousand".