38450664 has 192 divisors, whose sum is σ = 129392640. Its totient is φ = 10074240.

The previous prime is 38450639. The next prime is 38450669. The reversal of 38450664 is 46605483.

38450664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38450669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359299 + ... + 359405.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 2^38450664 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 38450664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

38450664 is an abundant number, since it is smaller than the sum of its proper divisors (90941976).

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

38450664 is a wasteful number, since it uses less digits than its factorization.

38450664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 38450664 is about 6200.8599403631. The cubic root of 38450664 is about 337.5213747779.

The spelling of 38450664 in words is "thirty-eight million, four hundred fifty thousand, six hundred sixty-four".