378929178000 has 400 divisors, whose sum is σ = 1374320787840. Its totient is φ = 100634400000.

The previous prime is 378929177969. The next prime is 378929178029. The reversal of 378929178000 is 871929873.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 40657341 + ... + 40666659.

Almost surely, 2^378929178000 is an apocalyptic number.

378929178000 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 378929178000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687160393920).

378929178000 is an abundant number, since it is smaller than the sum of its proper divisors (995391609840).

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

378929178000 is a wasteful number, since it uses less digits than its factorization.

378929178000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 378929178000 in words is "three hundred seventy-eight billion, nine hundred twenty-nine million, one hundred seventy-eight thousand".