38017664 has 32 divisors (see below), whose sum is σ = 76127700. Its totient is φ = 18911232.

The previous prime is 38017657. The next prime is 38017669. The reversal of 38017664 is 46671083.

It can be written as a sum of positive squares in 2 ways, for example, as 25000000 + 13017664 = 5000^2 + 3608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (38017669) 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 3 ways as a sum of consecutive naturals, for example, 28664 + ... + 29960.

Almost surely, 2^38017664 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 38017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38063850).

38017664 is an abundant number, since it is smaller than the sum of its proper divisors (38110036).

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

38017664 is a wasteful number, since it uses less digits than its factorization.

38017664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 38017664 is about 6165.8465760997. The cubic root of 38017664 is about 336.2496255345.

The spelling of 38017664 in words is "thirty-eight million, seventeen thousand, six hundred sixty-four".