38505600 has 288 divisors, whose sum is σ = 157847040. Its totient is φ = 8755200.

The previous prime is 38505587. The next prime is 38505617. The reversal of 38505600 is 650583.

38505600 is a `hidden beast` number, since 3 + 8 + 50 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201505 + ... + 201695.

It is an arithmetic number, because the mean of its divisors is an integer number (548080).

Almost surely, 2^38505600 is an apocalyptic number.

38505600 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 38505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

38505600 is an abundant number, since it is smaller than the sum of its proper divisors (119341440).

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

38505600 is a wasteful number, since it uses less digits than its factorization.

38505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 38505600 is about 6205.2880674470. The cubic root of 38505600 is about 337.6820417099.

The spelling of 38505600 in words is "thirty-eight million, five hundred five thousand, six hundred".