379200000 has 240 divisors, whose sum is σ = 1278668160. Its totient is φ = 99840000.

The previous prime is 379199993. The next prime is 379200023. The reversal of 379200000 is 2973.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 379200000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799961 + ... + 4800039.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^379200000 is an apocalyptic number.

379200000 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 379200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639334080).

379200000 is an abundant number, since it is smaller than the sum of its proper divisors (899468160).

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

379200000 is an frugal number, since it uses more digits than its factorization.

379200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 379200000 is about 19473.0583114209. The cubic root of 379200000 is about 723.8069955502.

Adding to 379200000 its reverse (2973), we get a palindrome (379202973).

The spelling of 379200000 in words is "three hundred seventy-nine million, two hundred thousand".