378631120 has 80 divisors (see below), whose sum is σ = 1015470720. Its totient is φ = 128604672.

The previous prime is 378631109. The next prime is 378631139. The reversal of 378631120 is 21136873.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57939 + ... + 64141.

It is an arithmetic number, because the mean of its divisors is an integer number (12693384).

Almost surely, 2^378631120 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 378631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507735360).

378631120 is an abundant number, since it is smaller than the sum of its proper divisors (636839600).

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

378631120 is a wasteful number, since it uses less digits than its factorization.

378631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 378631120 is about 19458.4459811158. The cubic root of 378631120 is about 723.4448599982. Note that the first 3 decimals are identical.

Adding to 378631120 its reverse (21136873), we get a palindrome (399767993).

It can be divided in two parts, 37863 and 1120, that added together give a palindrome (38983).

The spelling of 378631120 in words is "three hundred seventy-eight million, six hundred thirty-one thousand, one hundred twenty".