38378384 has 80 divisors (see below), whose sum is σ = 87422976. Its totient is φ = 16128000.

The previous prime is 38378357. The next prime is 38378393. The reversal of 38378384 is 48387383.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302129 + ... + 302255.

Almost surely, 2^38378384 is an apocalyptic number.

38378384 is a gapful number since it is divisible by the number (34) 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 38378384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43711488).

38378384 is an abundant number, since it is smaller than the sum of its proper divisors (49044592).

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

38378384 is a wasteful number, since it uses less digits than its factorization.

38378384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 38378384 is about 6195.0289749121. The cubic root of 38378384 is about 337.3097499314.

It can be divided in two parts, 3837 and 8384, that added together give a palindrome (12221).

The spelling of 38378384 in words is "thirty-eight million, three hundred seventy-eight thousand, three hundred eighty-four".