38845440 has 176 divisors, whose sum is σ = 138540960. Its totient is φ = 10321920.

The previous prime is 38845399. The next prime is 38845441. The reversal of 38845440 is 4454883.

38845440 is a `hidden beast` number, since 38 + 84 + 544 + 0 = 666.

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 = 38845395 and 38845404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38845441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138100 + ... + 138380.

Almost surely, 2^38845440 is an apocalyptic number.

38845440 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 38845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69270480).

38845440 is an abundant number, since it is smaller than the sum of its proper divisors (99695520).

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

38845440 is a wasteful number, since it uses less digits than its factorization.

38845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 38845440 is about 6232.6110098417. The cubic root of 38845440 is about 338.6725634647.

The spelling of 38845440 in words is "thirty-eight million, eight hundred forty-five thousand, four hundred forty".