378967680 has 512 divisors, whose sum is σ = 1658764800. Its totient is φ = 79626240.

The previous prime is 378967669. The next prime is 378967681. The reversal of 378967680 is 86769873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (378967681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572360 + ... + 1572600.

It is an arithmetic number, because the mean of its divisors is an integer number (3239775).

Almost surely, 2^378967680 is an apocalyptic number.

378967680 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 378967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829382400).

378967680 is an abundant number, since it is smaller than the sum of its proper divisors (1279797120).

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

378967680 is a wasteful number, since it uses less digits than its factorization.

378967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 378967680 is about 19467.0922327912. The cubic root of 378967680 is about 723.6591499161.

The spelling of 378967680 in words is "three hundred seventy-eight million, nine hundred sixty-seven thousand, six hundred eighty".