38348800 has 144 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 13025280.

The previous prime is 38348773. The next prime is 38348831. The reversal of 38348800 is 884383.

It is a happy number.

It is a super-2 number, since 2×38348800² = 2941260922880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358347 + ... + 358453.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^38348800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

38348800 is an abundant number, since it is smaller than the sum of its proper divisors (71331680).

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

38348800 is a wasteful number, since it uses less digits than its factorization.

38348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 38348800 is about 6192.6407937164. The cubic root of 38348800 is about 337.2230558448.

The spelling of 38348800 in words is "thirty-eight million, three hundred forty-eight thousand, eight hundred".