38480600 has 48 divisors (see below), whose sum is σ = 90046320. Its totient is φ = 15292800.

The previous prime is 38480599. The next prime is 38480609. The reversal of 38480600 is 608483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38480609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35669 + ... + 36731.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^38480600 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 38480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45023160).

38480600 is an abundant number, since it is smaller than the sum of its proper divisors (51565720).

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

38480600 is a wasteful number, since it uses less digits than its factorization.

38480600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 38480600 is about 6203.2733294608. The cubic root of 38480600 is about 337.6089451670.

The spelling of 38480600 in words is "thirty-eight million, four hundred eighty thousand, six hundred".