378015000 has 320 divisors, whose sum is σ = 1349568000. Its totient is φ = 87360000.

The previous prime is 378014999. The next prime is 378015017. The reversal of 378015000 is 510873.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4784961 + ... + 4785039.

It is an arithmetic number, because the mean of its divisors is an integer number (4217400).

Almost surely, 2^378015000 is an apocalyptic number.

378015000 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 378015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674784000).

378015000 is an abundant number, since it is smaller than the sum of its proper divisors (971553000).

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

378015000 is a wasteful number, since it uses less digits than its factorization.

378015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 378015000 is about 19442.6078497716. The cubic root of 378015000 is about 723.0522431827.

Adding to 378015000 its reverse (510873), we get a palindrome (378525873).

The spelling of 378015000 in words is "three hundred seventy-eight million, fifteen thousand".