38488320 has 216 divisors, whose sum is σ = 143967096. Its totient is φ = 9437184.

The previous prime is 38488313. The next prime is 38488327. The reversal of 38488320 is 2388483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38488313) and next prime (38488327).

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 31002624 = 2736^2 + 5568^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38488327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149632 + ... + 149888.

Almost surely, 2^38488320 is an apocalyptic number.

38488320 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 38488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71983548).

38488320 is an abundant number, since it is smaller than the sum of its proper divisors (105478776).

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

38488320 is a wasteful number, since it uses less digits than its factorization.

38488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38488320 is about 6203.8955503780. The cubic root of 38488320 is about 337.6315207573.

The spelling of 38488320 in words is "thirty-eight million, four hundred eighty-eight thousand, three hundred twenty".