38461540 has 48 divisors (see below), whose sum is σ = 89999280. Its totient is φ = 13708800.

The previous prime is 38461513. The next prime is 38461541. The reversal of 38461540 is 4516483.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13601344 + 24860196 = 3688^2 + 4986^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38461541) 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, 4990 + ... + 10090.

It is an arithmetic number, because the mean of its divisors is an integer number (1874985).

Almost surely, 2^38461540 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 38461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44999640).

38461540 is an abundant number, since it is smaller than the sum of its proper divisors (51537740).

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

38461540 is a wasteful number, since it uses less digits than its factorization.

38461540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 38461540 is about 6201.7368534952. The cubic root of 38461540 is about 337.5531950903.

The spelling of 38461540 in words is "thirty-eight million, four hundred sixty-one thousand, five hundred forty".