38348832 has 48 divisors (see below), whose sum is σ = 101267712. Its totient is φ = 12706560.

The previous prime is 38348831. The next prime is 38348881. The reversal of 38348832 is 23884383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×38348832³ (a number of 24 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38348831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16273 + ... + 18479.

It is an arithmetic number, because the mean of its divisors is an integer number (2109744).

Almost surely, 2^38348832 is an apocalyptic number.

38348832 is a gapful number since it is divisible by the number (32) 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 38348832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633856).

38348832 is an abundant number, since it is smaller than the sum of its proper divisors (62918880).

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

38348832 is a wasteful number, since it uses less digits than its factorization.

38348832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2393 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 38348832 is about 6192.6433774278. The cubic root of 38348832 is about 337.2231496429.

The spelling of 38348832 in words is "thirty-eight million, three hundred forty-eight thousand, eight hundred thirty-two".