38374422451200 has 4752 divisors, whose sum is σ = 172868320719360. Its totient is φ = 8320942080000.

The previous prime is 38374422451187. The next prime is 38374422451201. The reversal of 38374422451200 is 215422447383.

38374422451200 is a `hidden beast` number, since 3 + 8 + 3 + 74 + 42 + 24 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38374422451201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 935961523180 + ... + 935961523220.

Almost surely, 2^{38374422451200} is an apocalyptic number.

38374422451200 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 38374422451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86434160359680).

38374422451200 is an abundant number, since it is smaller than the sum of its proper divisors (134493898268160).

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

38374422451200 is a wasteful number, since it uses less digits than its factorization.

38374422451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

Adding to 38374422451200 its reverse (215422447383), we get a palindrome (38589844898583).

The spelling of 38374422451200 in words is "thirty-eight trillion, three hundred seventy-four billion, four hundred twenty-two million, four hundred fifty-one thousand, two hundred".