38148800 has 84 divisors (see below), whose sum is σ = 95149416. Its totient is φ = 15052800.

The previous prime is 38148787. The next prime is 38148821. The reversal of 38148800 is 884183.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 180695 + ... + 180905.

Almost surely, 2^38148800 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 38148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47574708).

38148800 is an abundant number, since it is smaller than the sum of its proper divisors (57000616).

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

38148800 is a wasteful number, since it uses less digits than its factorization.

38148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 38148800 is about 6176.4714845938. The cubic root of 38148800 is about 336.6357954026.

The spelling of 38148800 in words is "thirty-eight million, one hundred forty-eight thousand, eight hundred".