378030931200 has 1728 divisors, whose sum is σ = 1667030803200. Its totient is φ = 82811289600.

The previous prime is 378030931171. The next prime is 378030931253. The reversal of 378030931200 is 2139030873.

It is a happy number.

378030931200 is a `hidden beast` number, since 37 + 8 + 0 + 309 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 725586940 + ... + 725587460.

It is an arithmetic number, because the mean of its divisors is an integer number (964716900).

Almost surely, 2^378030931200 is an apocalyptic number.

378030931200 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 378030931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833515401600).

378030931200 is an abundant number, since it is smaller than the sum of its proper divisors (1288999872000).

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

378030931200 is a wasteful number, since it uses less digits than its factorization.

378030931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 378030931200 in words is "three hundred seventy-eight billion, thirty million, nine hundred thirty-one thousand, two hundred".