38985600 has 192 divisors, whose sum is σ = 133562880. Its totient is φ = 9984000.

The previous prime is 38985593. The next prime is 38985601. The reversal of 38985600 is 658983.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38985601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297535 + ... + 297665.

It is an arithmetic number, because the mean of its divisors is an integer number (695640).

Almost surely, 2^38985600 is an apocalyptic number.

38985600 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 38985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

38985600 is an abundant number, since it is smaller than the sum of its proper divisors (94577280).

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

38985600 is a wasteful number, since it uses less digits than its factorization.

38985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 38985600 is about 6243.8449692477. The cubic root of 38985600 is about 339.0794011764.

The spelling of 38985600 in words is "thirty-eight million, nine hundred eighty-five thousand, six hundred".