38382867600 has 960 divisors, whose sum is σ = 160422113280. Its totient is φ = 7614259200.

The previous prime is 38382867583. The next prime is 38382867617. The reversal of 38382867600 is 676828383.

It is an interprime number because it is at equal distance from previous prime (38382867583) and next prime (38382867617).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 352136346 + ... + 352136454.

It is an arithmetic number, because the mean of its divisors is an integer number (167106368).

Almost surely, 2^38382867600 is an apocalyptic number.

38382867600 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 38382867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80211056640).

38382867600 is an abundant number, since it is smaller than the sum of its proper divisors (122039245680).

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

38382867600 is a wasteful number, since it uses less digits than its factorization.

38382867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 38382867600 in words is "thirty-eight billion, three hundred eighty-two million, eight hundred sixty-seven thousand, six hundred".