378997320 has 256 divisors, whose sum is σ = 1341204480. Its totient is φ = 84787200.

The previous prime is 378997309. The next prime is 378997343. The reversal of 378997320 is 23799873.

378997320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 378997320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821890 + ... + 822350.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^378997320 is an apocalyptic number.

378997320 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 378997320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

378997320 is an abundant number, since it is smaller than the sum of its proper divisors (962207160).

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

378997320 is a wasteful number, since it uses less digits than its factorization.

378997320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 378997320 is about 19467.8535026335. The cubic root of 378997320 is about 723.6780158152.

The spelling of 378997320 in words is "three hundred seventy-eight million, nine hundred ninety-seven thousand, three hundred twenty".