379406208 has 64 divisors (see below), whose sum is σ = 1011819600. Its totient is φ = 125964288.

The previous prime is 379406207. The next prime is 379406239. The reversal of 379406208 is 802604973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379406207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 101460 + ... + 105132.

Almost surely, 2^379406208 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 379406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505909800).

379406208 is an abundant number, since it is smaller than the sum of its proper divisors (632413392).

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

379406208 is a wasteful number, since it uses less digits than its factorization.

379406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 379406208 is about 19478.3522917109. The cubic root of 379406208 is about 723.9381732457.

The spelling of 379406208 in words is "three hundred seventy-nine million, four hundred six thousand, two hundred eight".