379905736704 has 512 divisors, whose sum is σ = 1141504358400. Its totient is φ = 111641886720.

The previous prime is 379905736663. The next prime is 379905736723. The reversal of 379905736704 is 407637509973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4808933337 + ... + 4808933415.

It is an arithmetic number, because the mean of its divisors is an integer number (2229500700).

Almost surely, 2^379905736704 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 379905736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570752179200).

379905736704 is an abundant number, since it is smaller than the sum of its proper divisors (761598621696).

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

379905736704 is an equidigital number, since it uses as much as digits as its factorization.

379905736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 60.

The spelling of 379905736704 in words is "three hundred seventy-nine billion, nine hundred five million, seven hundred thirty-six thousand, seven hundred four".