380905616 has 160 divisors (see below), whose sum is σ = 979104000. Its totient is φ = 142248960.

The previous prime is 380905583. The next prime is 380905667. The reversal of 380905616 is 616509083.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 380905616.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1355396 + ... + 1355676.

It is an arithmetic number, because the mean of its divisors is an integer number (6119400).

Almost surely, 2^380905616 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 380905616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489552000).

380905616 is an abundant number, since it is smaller than the sum of its proper divisors (598198384).

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

380905616 is a wasteful number, since it uses less digits than its factorization.

380905616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 380905616 is about 19516.8034267910. The cubic root of 380905616 is about 724.8905842014.

The spelling of 380905616 in words is "three hundred eighty million, nine hundred five thousand, six hundred sixteen".