380013408 has 144 divisors (see below), whose sum is σ = 1114678656. Its totient is φ = 122757120.

The previous prime is 380013353. The next prime is 380013437. The reversal of 380013408 is 804310083.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703985 + ... + 1704207.

It is an arithmetic number, because the mean of its divisors is an integer number (7740824).

Almost surely, 2^380013408 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 380013408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557339328).

380013408 is an abundant number, since it is smaller than the sum of its proper divisors (734665248).

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

380013408 is a wasteful number, since it uses less digits than its factorization.

380013408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 380013408 is about 19493.9325945280. The cubic root of 380013408 is about 724.3241632125.

The spelling of 380013408 in words is "three hundred eighty million, thirteen thousand, four hundred eight".