38148960 has 192 divisors, whose sum is σ = 130636800. Its totient is φ = 9326592.

The previous prime is 38148953. The next prime is 38148977. The reversal of 38148960 is 6984183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428596 + ... + 428684.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^38148960 is an apocalyptic number.

38148960 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 38148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

38148960 is an abundant number, since it is smaller than the sum of its proper divisors (92487840).

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

38148960 is a wasteful number, since it uses less digits than its factorization.

38148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 38148960 is about 6176.4844369593. The cubic root of 38148960 is about 336.6362660303.

The spelling of 38148960 in words is "thirty-eight million, one hundred forty-eight thousand, nine hundred sixty".