378838600 has 288 divisors, whose sum is σ = 1119571200. Its totient is φ = 118540800.

The previous prime is 378838583. The next prime is 378838601. The reversal of 378838600 is 6838873.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (378838601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8810179 + ... + 8810221.

It is an arithmetic number, because the mean of its divisors is an integer number (3887400).

Almost surely, 2^378838600 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 378838600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559785600).

378838600 is an abundant number, since it is smaller than the sum of its proper divisors (740732600).

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

378838600 is a wasteful number, since it uses less digits than its factorization.

378838600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 378838600 is about 19463.7766119528. The cubic root of 378838600 is about 723.5769788538.

The spelling of 378838600 in words is "three hundred seventy-eight million, eight hundred thirty-eight thousand, six hundred".