38330300864000 has 320 divisors, whose sum is σ = 100646036187840. Its totient is φ = 14519889100800.

The previous prime is 38330300863991. The next prime is 38330300864033. The reversal of 38330300864000 is 46800303383.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5589948572 + ... + 5589955428.

It is an arithmetic number, because the mean of its divisors is an integer number (314518863087).

Almost surely, 2^{38330300864000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38330300864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50323018093920).

38330300864000 is an abundant number, since it is smaller than the sum of its proper divisors (62315735323840).

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

38330300864000 is an equidigital number, since it uses as much as digits as its factorization.

38330300864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11506 (or 11480 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 38330300864000 in words is "thirty-eight trillion, three hundred thirty billion, three hundred million, eight hundred sixty-four thousand".