378309001938 has 256 divisors, whose sum is σ = 961652736000. Its totient is φ = 96820593408.

The previous prime is 378309001831. The next prime is 378309001963. The reversal of 378309001938 is 839100903873.

It is a happy number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 135641848 + ... + 135644636.

It is an arithmetic number, because the mean of its divisors is an integer number (3756456000).

Almost surely, 2^378309001938 is an apocalyptic number.

378309001938 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378309001938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480826368000).

378309001938 is an abundant number, since it is smaller than the sum of its proper divisors (583343734062).

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

378309001938 is a wasteful number, since it uses less digits than its factorization.

378309001938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989.

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 378309001938 in words is "three hundred seventy-eight billion, three hundred nine million, one thousand, nine hundred thirty-eight".