378045020 has 96 divisors (see below), whose sum is σ = 855429120. Its totient is φ = 140025600.

The previous prime is 378045011. The next prime is 378045047. The reversal of 378045020 is 20540873.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3670289 + ... + 3670391.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2^378045020 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 378045020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

378045020 is an abundant number, since it is smaller than the sum of its proper divisors (477384100).

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

378045020 is a wasteful number, since it uses less digits than its factorization.

378045020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 378045020 is about 19443.3798502215. The cubic root of 378045020 is about 723.0713830349.

Adding to 378045020 its reverse (20540873), we get a palindrome (398585893).

It can be divided in two parts, 37804 and 5020, that added together give a palindrome (42824).

The spelling of 378045020 in words is "three hundred seventy-eight million, forty-five thousand, twenty".