379201504800 has 288 divisors, whose sum is σ = 1248370099200. Its totient is φ = 99974476800.

The previous prime is 379201504793. The next prime is 379201504837. The reversal of 379201504800 is 8405102973.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77846365 + ... + 77851235.

It is an arithmetic number, because the mean of its divisors is an integer number (4334618400).

Almost surely, 2^379201504800 is an apocalyptic number.

379201504800 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 379201504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624185049600).

379201504800 is an abundant number, since it is smaller than the sum of its proper divisors (869168594400).

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

379201504800 is a wasteful number, since it uses less digits than its factorization.

379201504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 379201504800 in words is "three hundred seventy-nine billion, two hundred one million, five hundred four thousand, eight hundred".