378635520 has 144 divisors (see below), whose sum is σ = 1219139712. Its totient is φ = 100147200.

The previous prime is 378635507. The next prime is 378635527. The reversal of 378635520 is 25536873.

378635520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378635527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579514 + ... + 580166.

It is an arithmetic number, because the mean of its divisors is an integer number (8466248).

Almost surely, 2^378635520 is an apocalyptic number.

378635520 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 378635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609569856).

378635520 is an abundant number, since it is smaller than the sum of its proper divisors (840504192).

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

378635520 is a wasteful number, since it uses less digits than its factorization.

378635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 378635520 is about 19458.5590422313. The cubic root of 378635520 is about 723.4476623255.

The spelling of 378635520 in words is "three hundred seventy-eight million, six hundred thirty-five thousand, five hundred twenty".