380728600 has 144 divisors (see below), whose sum is σ = 1075801680. Its totient is φ = 122726400.

The previous prime is 380728547. The next prime is 380728603. The reversal of 380728600 is 6827083.

It is a happy number.

380728600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380728603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404130 + ... + 405070.

It is an arithmetic number, because the mean of its divisors is an integer number (7470845).

Almost surely, 2^380728600 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 380728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537900840).

380728600 is an abundant number, since it is smaller than the sum of its proper divisors (695073080).

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

380728600 is a wasteful number, since it uses less digits than its factorization.

380728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 380728600 is about 19512.2679358397. The cubic root of 380728600 is about 724.7782754397.

The spelling of 380728600 in words is "three hundred eighty million, seven hundred twenty-eight thousand, six hundred".