38228349600 has 864 divisors, whose sum is σ = 169386033600. Its totient is φ = 8273664000.

The previous prime is 38228349583. The next prime is 38228349617. The reversal of 38228349600 is 694382283.

38228349600 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 8 + 34 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (38228349583) and next prime (38228349617).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×38228349600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20108650 + ... + 20110550.

It is an arithmetic number, because the mean of its divisors is an integer number (196048650).

Almost surely, 2^38228349600 is an apocalyptic number.

38228349600 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 38228349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84693016800).

38228349600 is an abundant number, since it is smaller than the sum of its proper divisors (131157684000).

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

38228349600 is a wasteful number, since it uses less digits than its factorization.

38228349600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38228349600 in words is "thirty-eight billion, two hundred twenty-eight million, three hundred forty-nine thousand, six hundred".