378212400 has 180 divisors, whose sum is σ = 1355240640. Its totient is φ = 97574400.

The previous prime is 378212381. The next prime is 378212407. The reversal of 378212400 is 4212873.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (378212407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109906 + ... + 113294.

Almost surely, 2^378212400 is an apocalyptic number.

378212400 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 378212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677620320).

378212400 is an abundant number, since it is smaller than the sum of its proper divisors (977028240).

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

378212400 is a wasteful number, since it uses less digits than its factorization.

378212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 378212400 is about 19447.6836666992. The cubic root of 378212400 is about 723.1780809363.

The spelling of 378212400 in words is "three hundred seventy-eight million, two hundred twelve thousand, four hundred".