379352107008 has 576 divisors, whose sum is σ = 1340234138880. Its totient is φ = 100902371328.

The previous prime is 379352107007. The next prime is 379352107009. The reversal of 379352107008 is 800701253973.

It is a happy number.

379352107008 is a `hidden beast` number, since 37 + 93 + 521 + 0 + 7 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (379352107007) and next prime (379352107009).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (379352107007) 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 47 ways as a sum of consecutive naturals, for example, 212759685 + ... + 212761467.

It is an arithmetic number, because the mean of its divisors is an integer number (2326795380).

Almost surely, 2^379352107008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379352107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670117069440).

379352107008 is an abundant number, since it is smaller than the sum of its proper divisors (960882031872).

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

379352107008 is a wasteful number, since it uses less digits than its factorization.

379352107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 379352107008 in words is "three hundred seventy-nine billion, three hundred fifty-two million, one hundred seven thousand, eight".