379016000 has 224 divisors, whose sum is σ = 1055583360. Its totient is φ = 133632000.

The previous prime is 379015883. The next prime is 379016017. The reversal of 379016000 is 610973.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5191964 + ... + 5192036.

Almost surely, 2^379016000 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 379016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527791680).

379016000 is an abundant number, since it is smaller than the sum of its proper divisors (676567360).

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

379016000 is a wasteful number, since it uses less digits than its factorization.

379016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 379016000 is about 19468.3332619924. Note that the first 3 decimals coincide. The cubic root of 379016000 is about 723.6899051546.

Adding to 379016000 its reverse (610973), we get a palindrome (379626973).

The spelling of 379016000 in words is "three hundred seventy-nine million, sixteen thousand".