378837200 has 120 divisors (see below), whose sum is σ = 1095078720. Its totient is φ = 123033600.

The previous prime is 378837187. The next prime is 378837203. The reversal of 378837200 is 2738873.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378837203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49640 + ... + 56760.

It is an arithmetic number, because the mean of its divisors is an integer number (9125656).

Almost surely, 2^378837200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378837200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547539360).

378837200 is an abundant number, since it is smaller than the sum of its proper divisors (716241520).

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

378837200 is a wasteful number, since it uses less digits than its factorization.

378837200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 378837200 is about 19463.7406476761. The cubic root of 378837200 is about 723.5760875252.

The spelling of 378837200 in words is "three hundred seventy-eight million, eight hundred thirty-seven thousand, two hundred".