38673600 has 168 divisors, whose sum is σ = 145133568. Its totient is φ = 8832000.

The previous prime is 38673599. The next prime is 38673697. The reversal of 38673600 is 637683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33025 + ... + 34175.

Almost surely, 2^38673600 is an apocalyptic number.

38673600 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 38673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566784).

38673600 is an abundant number, since it is smaller than the sum of its proper divisors (106459968).

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

38673600 is a wasteful number, since it uses less digits than its factorization.

38673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 38673600 is about 6218.8101755883. The cubic root of 38673600 is about 338.1724316549.

The spelling of 38673600 in words is "thirty-eight million, six hundred seventy-three thousand, six hundred".