376416384 has 128 divisors (see below), whose sum is σ = 1045524480. Its totient is φ = 119854080.

The previous prime is 376416379. The next prime is 376416407. The reversal of 376416384 is 483614673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×376416384³ (a number of 27 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1225959 + ... + 1226265.

It is an arithmetic number, because the mean of its divisors is an integer number (8168160).

Almost surely, 2^376416384 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 376416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522762240).

376416384 is an abundant number, since it is smaller than the sum of its proper divisors (669108096).

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

376416384 is a wasteful number, since it uses less digits than its factorization.

376416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 376416384 is about 19401.4531414531. The cubic root of 376416384 is about 722.0315463640.

The spelling of 376416384 in words is "three hundred seventy-six million, four hundred sixteen thousand, three hundred eighty-four".