38202944 has 112 divisors (see below), whose sum is σ = 89995248. Its totient is φ = 15925248.

The previous prime is 38202937. The next prime is 38202949. The reversal of 38202944 is 44920283.

It can be written as a sum of positive squares in 8 ways, for example, as 1721344 + 36481600 = 1312^2 + 6040^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 38202944.

It is not an unprimeable number, because it can be changed into a prime (38202949) 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 15 ways as a sum of consecutive naturals, for example, 523292 + ... + 523364.

It is an arithmetic number, because the mean of its divisors is an integer number (803529).

Almost surely, 2^38202944 is an apocalyptic number.

38202944 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 38202944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997624).

38202944 is an abundant number, since it is smaller than the sum of its proper divisors (51792304).

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

38202944 is a wasteful number, since it uses less digits than its factorization.

38202944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 38202944 is about 6180.8530155635. The cubic root of 38202944 is about 336.7949807705.

The spelling of 38202944 in words is "thirty-eight million, two hundred two thousand, nine hundred forty-four".