378641520 has 160 divisors (see below), whose sum is σ = 1310749440. Its totient is φ = 100465920.

The previous prime is 378641513. The next prime is 378641521. The reversal of 378641520 is 25146873.

378641520 is a `hidden beast` number, since 3 + 7 + 8 + 641 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378641521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 662835 + ... + 663405.

It is an arithmetic number, because the mean of its divisors is an integer number (8192184).

Almost surely, 2^378641520 is an apocalyptic number.

378641520 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 378641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655374720).

378641520 is an abundant number, since it is smaller than the sum of its proper divisors (932107920).

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

378641520 is a wasteful number, since it uses less digits than its factorization.

378641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 378641520 is about 19458.7132154210. The cubic root of 378641520 is about 723.4514836461.

The spelling of 378641520 in words is "three hundred seventy-eight million, six hundred forty-one thousand, five hundred twenty".