38138371303200 has 576 divisors, whose sum is σ = 145356644579328. Its totient is φ = 8505933004800.

The previous prime is 38138371303189. The next prime is 38138371303321. The reversal of 38138371303200 is 230317383183.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115536787 + ... + 115866413.

It is an arithmetic number, because the mean of its divisors is an integer number (252355285728).

Almost surely, 2^{38138371303200} is an apocalyptic number.

38138371303200 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 38138371303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72678322289664).

38138371303200 is an abundant number, since it is smaller than the sum of its proper divisors (107218273276128).

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

38138371303200 is a wasteful number, since it uses less digits than its factorization.

38138371303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329825 (or 329812 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

Adding to 38138371303200 its reverse (230317383183), we get a palindrome (38368688686383).

The spelling of 38138371303200 in words is "thirty-eight trillion, one hundred thirty-eight billion, three hundred seventy-one million, three hundred three thousand, two hundred".