379693440000 has 1760 divisors, whose sum is σ = 1665724797440. Its totient is φ = 83607552000.

The previous prime is 379693439981. The next prime is 379693440001. The reversal of 379693440000 is 44396973.

379693440000 is a `hidden beast` number, since 37 + 96 + 93 + 440 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379693440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5201279964 + ... + 5201280036.

It is an arithmetic number, because the mean of its divisors is an integer number (946434544).

Almost surely, 2^379693440000 is an apocalyptic number.

379693440000 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 379693440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832862398720).

379693440000 is an abundant number, since it is smaller than the sum of its proper divisors (1286031357440).

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

379693440000 is an equidigital number, since it uses as much as digits as its factorization.

379693440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 379693440000 in words is "three hundred seventy-nine billion, six hundred ninety-three million, four hundred forty thousand".