38673331200 has 528 divisors, whose sum is σ = 162328082560. Its totient is φ = 8838512640.

The previous prime is 38673331189. The next prime is 38673331211. The reversal of 38673331200 is 213337683.

It is a happy number.

38673331200 is a `hidden beast` number, since 386 + 73 + 3 + 3 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (38673331189) and next prime (38673331211).

It is a super-2 number, since 2×38673331200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4834404 + ... + 4842396.

Almost surely, 2^38673331200 is an apocalyptic number.

38673331200 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 38673331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81164041280).

38673331200 is an abundant number, since it is smaller than the sum of its proper divisors (123654751360).

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

38673331200 is a wasteful number, since it uses less digits than its factorization.

38673331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 38673331200 its reverse (213337683), we get a palindrome (38886668883).

The spelling of 38673331200 in words is "thirty-eight billion, six hundred seventy-three million, three hundred thirty-one thousand, two hundred".