38580000 has 120 divisors (see below), whose sum is σ = 126746928. Its totient is φ = 10272000.

The previous prime is 38579941. The next prime is 38580001. The reversal of 38580000 is 8583.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (38580001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59679 + ... + 60321.

Almost surely, 2^38580000 is an apocalyptic number.

38580000 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 38580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63373464).

38580000 is an abundant number, since it is smaller than the sum of its proper divisors (88166928).

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

38580000 is an equidigital number, since it uses as much as digits as its factorization.

38580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 38580000 is about 6211.2800613078. The cubic root of 38580000 is about 337.8993900101.

Adding to 38580000 its reverse (8583), we get a palindrome (38588583).

The spelling of 38580000 in words is "thirty-eight million, five hundred eighty thousand".