378345000 has 160 divisors (see below), whose sum is σ = 1289962080. Its totient is φ = 91680000.

The previous prime is 378344977. The next prime is 378345029. The reversal of 378345000 is 543873.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163854 + ... + 166146.

It is an arithmetic number, because the mean of its divisors is an integer number (8062263).

Almost surely, 2^378345000 is an apocalyptic number.

378345000 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 378345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644981040).

378345000 is an abundant number, since it is smaller than the sum of its proper divisors (911617080).

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

378345000 is a wasteful number, since it uses less digits than its factorization.

378345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 378345000 is about 19451.0925143037. The cubic root of 378345000 is about 723.2625856653.

Adding to 378345000 its reverse (543873), we get a palindrome (378888873).

The spelling of 378345000 in words is "three hundred seventy-eight million, three hundred forty-five thousand".