378846574200 has 864 divisors, whose sum is σ = 1441448626800. Its totient is φ = 92513249280.

The previous prime is 378846574199. The next prime is 378846574207. The reversal of 378846574200 is 2475648873.

378846574200 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 46 + 574 + 20 + 0 = 666.

It is a super-2 number, since 2×378846574200² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378846574207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10239096582 + ... + 10239096618.

Almost surely, 2^378846574200 is an apocalyptic number.

378846574200 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 378846574200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720724313400).

378846574200 is an abundant number, since it is smaller than the sum of its proper divisors (1062602052600).

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

378846574200 is an equidigital number, since it uses as much as digits as its factorization.

378846574200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 378846574200 in words is "three hundred seventy-eight billion, eight hundred forty-six million, five hundred seventy-four thousand, two hundred".