38341152 has 72 divisors (see below), whose sum is σ = 110715696. Its totient is φ = 12583296.

The previous prime is 38341151. The next prime is 38341157. The reversal of 38341152 is 25114383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (38341151) 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 11 ways as a sum of consecutive naturals, for example, 18303 + ... + 20289.

It is an arithmetic number, because the mean of its divisors is an integer number (1537718).

Almost surely, 2^38341152 is an apocalyptic number.

38341152 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 38341152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55357848).

38341152 is an abundant number, since it is smaller than the sum of its proper divisors (72374544).

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

38341152 is a wasteful number, since it uses less digits than its factorization.

38341152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2059 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 38341152 is about 6192.0232557703. The cubic root of 38341152 is about 337.2006366000.

The spelling of 38341152 in words is "thirty-eight million, three hundred forty-one thousand, one hundred fifty-two".