380802016 has 144 divisors (see below), whose sum is σ = 930877920. Its totient is φ = 149990400.

The previous prime is 380802013. The next prime is 380802029. The reversal of 380802016 is 610208083.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380802011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6242626 + ... + 6242686.

It is an arithmetic number, because the mean of its divisors is an integer number (6464430).

Almost surely, 2^380802016 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 380802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465438960).

380802016 is an abundant number, since it is smaller than the sum of its proper divisors (550075904).

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

380802016 is a wasteful number, since it uses less digits than its factorization.

380802016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 380802016 is about 19514.1491231363. The cubic root of 380802016 is about 724.8248588433.

The spelling of 380802016 in words is "three hundred eighty million, eight hundred two thousand, sixteen".