378685440 has 288 divisors, whose sum is σ = 1502504640. Its totient is φ = 86409216.

The previous prime is 378685427. The next prime is 378685441. The reversal of 378685440 is 44586873.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (378685441) 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, 644827 + ... + 645413.

It is an arithmetic number, because the mean of its divisors is an integer number (5217030).

Almost surely, 2^378685440 is an apocalyptic number.

378685440 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 378685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

378685440 is an abundant number, since it is smaller than the sum of its proper divisors (1123819200).

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

378685440 is a wasteful number, since it uses less digits than its factorization.

378685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 378685440 is about 19459.8417259751. The cubic root of 378685440 is about 723.4794544831.

The spelling of 378685440 in words is "three hundred seventy-eight million, six hundred eighty-five thousand, four hundred forty".