38340027264000 has 2112 divisors, whose sum is σ = 164184266787840. Its totient is φ = 7851540480000.

The previous prime is 38340027263981. The next prime is 38340027264017. The reversal of 38340027264000 is 46272004383.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 38340027264000.

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, 14695294696 + ... + 14695297304.

Almost surely, 2^{38340027264000} is an apocalyptic number.

38340027264000 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 38340027264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82092133393920).

38340027264000 is an abundant number, since it is smaller than the sum of its proper divisors (125844239523840).

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

38340027264000 is a wasteful number, since it uses less digits than its factorization.

38340027264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

Adding to 38340027264000 its reverse (46272004383), we get a palindrome (38386299268383).

The spelling of 38340027264000 in words is "thirty-eight trillion, three hundred forty billion, twenty-seven million, two hundred sixty-four thousand".