38249904 has 160 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 9734400.

The previous prime is 38249903. The next prime is 38249909. The reversal of 38249904 is 40994283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38249903) 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, 291919 + ... + 292049.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 2^38249904 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 38249904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

38249904 is an abundant number, since it is smaller than the sum of its proper divisors (87456336).

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

38249904 is a wasteful number, since it uses less digits than its factorization.

38249904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 38249904 is about 6184.6506772816. The cubic root of 38249904 is about 336.9329231613.

It can be divided in two parts, 38 and 249904, that added together give a palindrome (249942).

The spelling of 38249904 in words is "thirty-eight million, two hundred forty-nine thousand, nine hundred four".