378329760 has 144 divisors (see below), whose sum is σ = 1347300864. Its totient is φ = 96493056.

The previous prime is 378329723. The next prime is 378329803. The reversal of 378329760 is 67923873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27409 + ... + 38831.

It is an arithmetic number, because the mean of its divisors is an integer number (9356256).

Almost surely, 2^378329760 is an apocalyptic number.

378329760 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 378329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673650432).

378329760 is an abundant number, since it is smaller than the sum of its proper divisors (968971104).

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

378329760 is a wasteful number, since it uses less digits than its factorization.

378329760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11467 (or 11456 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 378329760 is about 19450.7007585845. The cubic root of 378329760 is about 723.2528743614.

The spelling of 378329760 in words is "three hundred seventy-eight million, three hundred twenty-nine thousand, seven hundred sixty".