38507040 has 432 divisors, whose sum is σ = 164697624. Its totient is φ = 8110080.

The previous prime is 38507039. The next prime is 38507069. The reversal of 38507040 is 4070583.

It can be written as a sum of positive squares in 4 ways, for example, as 29289744 + 9217296 = 5412^2 + 3036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38506995 and 38507013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2265112 + ... + 2265128.

Almost surely, 2^38507040 is an apocalyptic number.

38507040 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 38507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82348812).

38507040 is an abundant number, since it is smaller than the sum of its proper divisors (126190584).

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

38507040 is a wasteful number, since it uses less digits than its factorization.

38507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38507040 is about 6205.4040964308. The cubic root of 38507040 is about 337.6862511069.

The spelling of 38507040 in words is "thirty-eight million, five hundred seven thousand, forty".