38902334400000 has 960 divisors, whose sum is σ = 146381930956800. Its totient is φ = 10197457920000.

The previous prime is 38902334399989. The next prime is 38902334400001. The reversal of 38902334400000 is 443320983.

It is a happy number.

38902334400000 is a `hidden beast` number, since 389 + 0 + 233 + 4 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38902334400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2548792369 + ... + 2548807631.

It is an arithmetic number, because the mean of its divisors is an integer number (152481178080).

Almost surely, 2^{38902334400000} is an apocalyptic number.

38902334400000 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 38902334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73190965478400).

38902334400000 is an abundant number, since it is smaller than the sum of its proper divisors (107479596556800).

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

38902334400000 is an frugal number, since it uses more digits than its factorization.

38902334400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15374 (or 15332 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 38902334400000 its reverse (443320983), we get a palindrome (38902777720983).

The spelling of 38902334400000 in words is "thirty-eight trillion, nine hundred two billion, three hundred thirty-four million, four hundred thousand".