38102400000 has 1188 divisors, whose sum is σ = 165892335336. Its totient is φ = 8709120000.

The previous prime is 38102399977. The next prime is 38102400029. The reversal of 38102400000 is 420183.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5443199997 + ... + 5443200003.

Almost surely, 2^38102400000 is an apocalyptic number.

38102400000 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 38102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82946167668).

38102400000 is an abundant number, since it is smaller than the sum of its proper divisors (127789935336).

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

38102400000 is an frugal number, since it uses more digits than its factorization.

38102400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 38102400000 its reverse (420183), we get a palindrome (38102820183).

The spelling of 38102400000 in words is "thirty-eight billion, one hundred two million, four hundred thousand".