378212214600 has 960 divisors, whose sum is σ = 1470055910400. Its totient is φ = 89353152000.

The previous prime is 378212214599. The next prime is 378212214623. The reversal of 378212214600 is 6412212873.

It is a happy number.

378212214600 is a `hidden beast` number, since 3 + 7 + 8 + 21 + 2 + 21 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 2112917311 + ... + 2112917489.

It is an arithmetic number, because the mean of its divisors is an integer number (1531308240).

Almost surely, 2^378212214600 is an apocalyptic number.

378212214600 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 378212214600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735027955200).

378212214600 is an abundant number, since it is smaller than the sum of its proper divisors (1091843695800).

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

378212214600 is a wasteful number, since it uses less digits than its factorization.

378212214600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 378212214600 in words is "three hundred seventy-eight billion, two hundred twelve million, two hundred fourteen thousand, six hundred".