38709504 has 108 divisors (see below), whose sum is σ = 114073596. Its totient is φ = 12619776.

The previous prime is 38709481. The next prime is 38709509. The reversal of 38709504 is 40590783.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 25401600 = 3648^2 + 5040^2 .

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 (38709509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121954 + ... + 122270.

It is an arithmetic number, because the mean of its divisors is an integer number (1056237).

Almost surely, 2^38709504 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 38709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57036798).

38709504 is an abundant number, since it is smaller than the sum of its proper divisors (75364092).

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

38709504 is a wasteful number, since it uses less digits than its factorization.

38709504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38709504 is about 6221.6962317362. The cubic root of 38709504 is about 338.2770507190.

The spelling of 38709504 in words is "thirty-eight million, seven hundred nine thousand, five hundred four".