379450368 has 264 divisors, whose sum is σ = 1264554720. Its totient is φ = 108380160.

The previous prime is 379450363. The next prime is 379450453. The reversal of 379450368 is 863054973.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379450363) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1926046 + ... + 1926242.

It is an arithmetic number, because the mean of its divisors is an integer number (4789980).

Almost surely, 2^379450368 is an apocalyptic number.

379450368 is a gapful number since it is divisible by the number (38) 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 379450368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632277360).

379450368 is an abundant number, since it is smaller than the sum of its proper divisors (885104352).

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

379450368 is a wasteful number, since it uses less digits than its factorization.

379450368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 379450368 is about 19479.4858248363. The cubic root of 379450368 is about 723.9662591237.

The spelling of 379450368 in words is "three hundred seventy-nine million, four hundred fifty thousand, three hundred sixty-eight".