378239410752 has 336 divisors, whose sum is σ = 1227104317440. Its totient is φ = 102239843328.

The previous prime is 378239410711. The next prime is 378239410753. The reversal of 378239410752 is 257014932873.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 378239410695 and 378239410704.

It is not an unprimeable number, because it can be changed into a prime (378239410753) 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, 254363353 + ... + 254364839.

Almost surely, 2^378239410752 is an apocalyptic number.

378239410752 is a gapful number since it is divisible by the number (32) 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 378239410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613552158720).

378239410752 is an abundant number, since it is smaller than the sum of its proper divisors (848864906688).

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

378239410752 is a wasteful number, since it uses less digits than its factorization.

378239410752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 378239410752 in words is "three hundred seventy-eight billion, two hundred thirty-nine million, four hundred ten thousand, seven hundred fifty-two".