38257360 has 40 divisors (see below), whose sum is σ = 89565696. Its totient is φ = 15196800.

The previous prime is 38257357. The next prime is 38257363. The reversal of 38257360 is 6375283.

It is an interprime number because it is at equal distance from previous prime (38257357) and next prime (38257363).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38257363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10497 + ... + 13663.

Almost surely, 2^38257360 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 38257360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44782848).

38257360 is an abundant number, since it is smaller than the sum of its proper divisors (51308336).

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

38257360 is a wasteful number, since it uses less digits than its factorization.

38257360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 38257360 is about 6185.2534305394. The cubic root of 38257360 is about 336.9548143592.

The spelling of 38257360 in words is "thirty-eight million, two hundred fifty-seven thousand, three hundred sixty".