38384640 has 396 divisors, whose sum is σ = 163817316. Its totient is φ = 8257536.

The previous prime is 38384629. The next prime is 38384663. The reversal of 38384640 is 4648383.

38384640 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 16257024 = 4704^2 + 4032^2 .

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 = 38384595 and 38384604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257912 + ... + 2257928.

Almost surely, 2^38384640 is an apocalyptic number.

38384640 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 38384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81908658).

38384640 is an abundant number, since it is smaller than the sum of its proper divisors (125432676).

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

38384640 is a wasteful number, since it uses less digits than its factorization.

38384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38384640 is about 6195.5338753008. The cubic root of 38384640 is about 337.3280770461.

The spelling of 38384640 in words is "thirty-eight million, three hundred eighty-four thousand, six hundred forty".