379911168 has 352 divisors, whose sum is σ = 1393925120. Its totient is φ = 99532800.

The previous prime is 379911113. The next prime is 379911173. The reversal of 379911168 is 861119973.

It is a super-2 number, since 2×379911168² = 288664991142248448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515893 + ... + 2516043.

Almost surely, 2^379911168 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 379911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696962560).

379911168 is an abundant number, since it is smaller than the sum of its proper divisors (1014013952).

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

379911168 is a wasteful number, since it uses less digits than its factorization.

379911168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 379911168 is about 19491.3100637181. The cubic root of 379911168 is about 724.2591992374.

The spelling of 379911168 in words is "three hundred seventy-nine million, nine hundred eleven thousand, one hundred sixty-eight".