379766016 has 288 divisors, whose sum is σ = 1318625280. Its totient is φ = 105560064.

The previous prime is 379766003. The next prime is 379766017. The reversal of 379766016 is 610667973.

379766016 is a `hidden beast` number, since 37 + 9 + 7 + 6 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379766017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273965 + ... + 2274131.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2^379766016 is an apocalyptic number.

379766016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

379766016 is an abundant number, since it is smaller than the sum of its proper divisors (938859264).

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

379766016 is a wasteful number, since it uses less digits than its factorization.

379766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 379766016 is about 19487.5862025034. The cubic root of 379766016 is about 724.1669486697.

The spelling of 379766016 in words is "three hundred seventy-nine million, seven hundred sixty-six thousand, sixteen".