378600019200 has 1944 divisors, whose sum is σ = 1628023924800. Its totient is φ = 83501383680.

The previous prime is 378600019199. The next prime is 378600019201. The reversal of 378600019200 is 2910006873.

378600019200 is a `hidden beast` number, since 37 + 8 + 600 + 0 + 19 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (378600019199) and next prime (378600019201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378600019201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4253932756 + ... + 4253932844.

Almost surely, 2^378600019200 is an apocalyptic number.

378600019200 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 378600019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814011962400).

378600019200 is an abundant number, since it is smaller than the sum of its proper divisors (1249423905600).

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

378600019200 is a wasteful number, since it uses less digits than its factorization.

378600019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 378600019200 in words is "three hundred seventy-eight billion, six hundred million, nineteen thousand, two hundred".