38597680 has 80 divisors (see below), whose sum is σ = 102207744. Its totient is φ = 13418240.

The previous prime is 38597677. The next prime is 38597681. The reversal of 38597680 is 8679583.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 38597680.

It is not an unprimeable number, because it can be changed into a prime (38597681) 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 15 ways as a sum of consecutive naturals, for example, 19287 + ... + 21193.

Almost surely, 2^38597680 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 38597680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51103872).

38597680 is an abundant number, since it is smaller than the sum of its proper divisors (63610064).

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

38597680 is a wasteful number, since it uses less digits than its factorization.

38597680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 38597680 is about 6212.7031153919. The cubic root of 38597680 is about 337.9509983466.

The spelling of 38597680 in words is "thirty-eight million, five hundred ninety-seven thousand, six hundred eighty".