38985408 has 224 divisors, whose sum is σ = 143377920. Its totient is φ = 10091520.

The previous prime is 38985407. The next prime is 38985433. The reversal of 38985408 is 80458983.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38985407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132910 + ... + 133202.

It is an arithmetic number, because the mean of its divisors is an integer number (640080).

Almost surely, 2^38985408 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 38985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

38985408 is an abundant number, since it is smaller than the sum of its proper divisors (104392512).

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

38985408 is a wasteful number, since it uses less digits than its factorization.

38985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 38985408 is about 6243.8295940873. The cubic root of 38985408 is about 339.0788445320.

It can be divided in two parts, 38985 and 408, that added together give a palindrome (39393).

The spelling of 38985408 in words is "thirty-eight million, nine hundred eighty-five thousand, four hundred eight".