379008000 has 528 divisors, whose sum is σ = 1594105344. Its totient is φ = 84787200.

The previous prime is 379007987. The next prime is 379008001. The reversal of 379008000 is 800973.

It is a happy number.

379008000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×379008000³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379008001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8063977 + ... + 8064023.

Almost surely, 2^379008000 is an apocalyptic number.

379008000 is a gapful number since it is divisible by the number (30) 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 379008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797052672).

379008000 is an abundant number, since it is smaller than the sum of its proper divisors (1215097344).

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

379008000 is a wasteful number, since it uses less digits than its factorization.

379008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 379008000 is about 19468.1277990463. The cubic root of 379008000 is about 723.6848134082.

Adding to 379008000 its reverse (800973), we get a palindrome (379808973).

The spelling of 379008000 in words is "three hundred seventy-nine million, eight thousand".