38519440 has 40 divisors (see below), whose sum is σ = 90371448. Its totient is φ = 15267840.

The previous prime is 38519431. The next prime is 38519447. The reversal of 38519440 is 4491583.

It can be written as a sum of positive squares in 4 ways, for example, as 3283344 + 35236096 = 1812^2 + 5936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 38519396 and 38519405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38519447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6910 + ... + 11170.

Almost surely, 2^38519440 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 38519440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45185724).

38519440 is an abundant number, since it is smaller than the sum of its proper divisors (51852008).

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

38519440 is a wasteful number, since it uses less digits than its factorization.

38519440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 38519440 is about 6206.4031451397. The cubic root of 38519440 is about 337.7224943508.

The spelling of 38519440 in words is "thirty-eight million, five hundred nineteen thousand, four hundred forty".