38538360 has 192 divisors, whose sum is σ = 147026880. Its totient is φ = 8570880.

The previous prime is 38538359. The next prime is 38538373. The reversal of 38538360 is 6383583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103134 + ... + 103506.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 2^38538360 is an apocalyptic number.

38538360 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 38538360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

38538360 is an abundant number, since it is smaller than the sum of its proper divisors (108488520).

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

38538360 is a wasteful number, since it uses less digits than its factorization.

38538360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38538360 is about 6207.9271902947. The cubic root of 38538360 is about 337.7777795411. Note that the first 5 decimals are identical.

The spelling of 38538360 in words is "thirty-eight million, five hundred thirty-eight thousand, three hundred sixty".