38881440 has 288 divisors, whose sum is σ = 149700096. Its totient is φ = 9123840.

The previous prime is 38881439. The next prime is 38881457. The reversal of 38881440 is 4418883.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 38881395 and 38881404.

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, 580287 + ... + 580353.

It is an arithmetic number, because the mean of its divisors is an integer number (519792).

Almost surely, 2^38881440 is an apocalyptic number.

38881440 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 38881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

38881440 is an abundant number, since it is smaller than the sum of its proper divisors (110818656).

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

38881440 is a wasteful number, since it uses less digits than its factorization.

38881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 38881440 is about 6235.4983762326. The cubic root of 38881440 is about 338.7771527279. Note that the first 3 decimals are identical.

The spelling of 38881440 in words is "thirty-eight million, eight hundred eighty-one thousand, four hundred forty".