38431536 has 120 divisors (see below), whose sum is σ = 117752880. Its totient is φ = 10728960.

The previous prime is 38431529. The next prime is 38431541. The reversal of 38431536 is 63513483.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 38431497 and 38431506.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 75250 + ... + 75758.

It is an arithmetic number, because the mean of its divisors is an integer number (981274).

Almost surely, 2^38431536 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 38431536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58876440).

38431536 is an abundant number, since it is smaller than the sum of its proper divisors (79321344).

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

38431536 is a wasteful number, since it uses less digits than its factorization.

38431536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 538 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 38431536 is about 6199.3173817768. The cubic root of 38431536 is about 337.4653967267.

The spelling of 38431536 in words is "thirty-eight million, four hundred thirty-one thousand, five hundred thirty-six".