378050400 has 432 divisors, whose sum is σ = 1643582304. Its totient is φ = 79626240.

The previous prime is 378050389. The next prime is 378050401. The reversal of 378050400 is 4050873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378050401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654912 + ... + 655488.

Almost surely, 2^378050400 is an apocalyptic number.

378050400 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 378050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821791152).

378050400 is an abundant number, since it is smaller than the sum of its proper divisors (1265531904).

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

378050400 is a wasteful number, since it uses less digits than its factorization.

378050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 378050400 is about 19443.5182001612. The cubic root of 378050400 is about 723.0748130546.

The spelling of 378050400 in words is "three hundred seventy-eight million, fifty thousand, four hundred".