38458640 has 120 divisors (see below), whose sum is σ = 102415320. Its totient is φ = 13404160.

The previous prime is 38458633. The next prime is 38458649. The reversal of 38458640 is 4685483.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5234944 + 33223696 = 2288^2 + 5764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38458594 and 38458603.

It is not an unprimeable number, because it can be changed into a prime (38458649) 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, 280652 + ... + 280788.

It is an arithmetic number, because the mean of its divisors is an integer number (853461).

Almost surely, 2^38458640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51207660).

38458640 is an abundant number, since it is smaller than the sum of its proper divisors (63956680).

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

38458640 is a wasteful number, since it uses less digits than its factorization.

38458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 38458640 is about 6201.5030436177. The cubic root of 38458640 is about 337.5447110404.

The spelling of 38458640 in words is "thirty-eight million, four hundred fifty-eight thousand, six hundred forty".