38214873600 has 240 divisors, whose sum is σ = 126588147840. Its totient is φ = 10162585600.

The previous prime is 38214873559. The next prime is 38214873601. The reversal of 38214873600 is 637841283.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (38214873601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16549246 + ... + 16551554.

It is an arithmetic number, because the mean of its divisors is an integer number (527450616).

Almost surely, 2^38214873600 is an apocalyptic number.

38214873600 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 38214873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63294073920).

38214873600 is an abundant number, since it is smaller than the sum of its proper divisors (88373274240).

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

38214873600 is a wasteful number, since it uses less digits than its factorization.

38214873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 38214873600 in words is "thirty-eight billion, two hundred fourteen million, eight hundred seventy-three thousand, six hundred".