38088960 has 288 divisors, whose sum is σ = 151092480. Its totient is φ = 7962624.

The previous prime is 38088917. The next prime is 38088961. The reversal of 38088960 is 6988083.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 436 × 364 × 240.

It is not an unprimeable number, because it can be changed into a prime (38088961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349386 + ... + 349494.

Almost surely, 2^38088960 is an apocalyptic number.

38088960 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 38088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

38088960 is an abundant number, since it is smaller than the sum of its proper divisors (113003520).

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

38088960 is a wasteful number, since it uses less digits than its factorization.

38088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 38088960 is about 6171.6253936868. The cubic root of 38088960 is about 336.4596882649.

The spelling of 38088960 in words is "thirty-eight million, eighty-eight thousand, nine hundred sixty".