378817120 has 144 divisors (see below), whose sum is σ = 1042481664. Its totient is φ = 129536000.

The previous prime is 378817099. The next prime is 378817121. The reversal of 378817120 is 21718873.

It is a self number, because there is not a number n which added to its sum of digits gives 378817120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378817121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328545 + ... + 329695.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^378817120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521240832).

378817120 is an abundant number, since it is smaller than the sum of its proper divisors (663664544).

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

378817120 is a wasteful number, since it uses less digits than its factorization.

378817120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 378817120 is about 19463.2248098818. The cubic root of 378817120 is about 723.5633030851.

The spelling of 378817120 in words is "three hundred seventy-eight million, eight hundred seventeen thousand, one hundred twenty".