379968096 has 96 divisors (see below), whose sum is σ = 1069141248. Its totient is φ = 117849600.

The previous prime is 379968091. The next prime is 379968097. The reversal of 379968096 is 690869973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379968091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79371 + ... + 84021.

It is an arithmetic number, because the mean of its divisors is an integer number (11136888).

Almost surely, 2^379968096 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 379968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534570624).

379968096 is an abundant number, since it is smaller than the sum of its proper divisors (689173152).

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

379968096 is a wasteful number, since it uses less digits than its factorization.

379968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The square root of 379968096 is about 19492.7703521075. The cubic root of 379968096 is about 724.2953731046.

The spelling of 379968096 in words is "three hundred seventy-nine million, nine hundred sixty-eight thousand, ninety-six".