379161216 has 192 divisors, whose sum is σ = 1302336000. Its totient is φ = 108283392.

The previous prime is 379161179. The next prime is 379161221. The reversal of 379161216 is 612161973.

379161216 is a `hidden beast` number, since 37 + 9 + 1 + 612 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168225 + ... + 170463.

It is an arithmetic number, because the mean of its divisors is an integer number (6783000).

Almost surely, 2^379161216 is an apocalyptic number.

379161216 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 379161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168000).

379161216 is an abundant number, since it is smaller than the sum of its proper divisors (923174784).

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

379161216 is a wasteful number, since it uses less digits than its factorization.

379161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2251 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 379161216 is about 19472.0624485441. The cubic root of 379161216 is about 723.7823180822.

The spelling of 379161216 in words is "three hundred seventy-nine million, one hundred sixty-one thousand, two hundred sixteen".