38202912 has 144 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 11174400.

The previous prime is 38202883. The next prime is 38202917. The reversal of 38202912 is 21920283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38202917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 98014 + ... + 98402.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 2^38202912 is an apocalyptic number.

38202912 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 38202912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

38202912 is an abundant number, since it is smaller than the sum of its proper divisors (84450528).

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

38202912 is a wasteful number, since it uses less digits than its factorization.

38202912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38202912 is about 6180.8504269235. The cubic root of 38202912 is about 336.7948867337.

The spelling of 38202912 in words is "thirty-eight million, two hundred two thousand, nine hundred twelve".