38444064 has 96 divisors (see below), whose sum is σ = 105557760. Its totient is φ = 12241152.

The previous prime is 38444059. The next prime is 38444071. The reversal of 38444064 is 46044483.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276507 + ... + 276645.

It is an arithmetic number, because the mean of its divisors is an integer number (1099560).

Almost surely, 2^38444064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38444064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880).

38444064 is an abundant number, since it is smaller than the sum of its proper divisors (67113696).

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

38444064 is a wasteful number, since it uses less digits than its factorization.

38444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 38444064 is about 6200.3277332735. The cubic root of 38444064 is about 337.5020619901.

The spelling of 38444064 in words is "thirty-eight million, four hundred forty-four thousand, sixty-four".