38204760 has 128 divisors (see below), whose sum is σ = 126696960. Its totient is φ = 9139200.

The previous prime is 38204759. The next prime is 38204773. The reversal of 38204760 is 6740283.

38204760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6181²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 135820 + ... + 136100.

It is an arithmetic number, because the mean of its divisors is an integer number (989820).

Almost surely, 2^38204760 is an apocalyptic number.

38204760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38204760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63348480).

38204760 is an abundant number, since it is smaller than the sum of its proper divisors (88492200).

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

38204760 is a wasteful number, since it uses less digits than its factorization.

38204760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38204760 is about 6180.9999191069. Note that the first 4 decimals coincide. The cubic root of 38204760 is about 336.8003172702.

The spelling of 38204760 in words is "thirty-eight million, two hundred four thousand, seven hundred sixty".