378089640 has 256 divisors, whose sum is σ = 1360281600. Its totient is φ = 93139200.

The previous prime is 378089629. The next prime is 378089687. The reversal of 378089640 is 46980873.

It is a happy number.

378089640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 769795 + ... + 770285.

It is an arithmetic number, because the mean of its divisors is an integer number (5313600).

Almost surely, 2^378089640 is an apocalyptic number.

378089640 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 378089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680140800).

378089640 is an abundant number, since it is smaller than the sum of its proper divisors (982191960).

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

378089640 is a wasteful number, since it uses less digits than its factorization.

378089640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 378089640 is about 19444.5272506173. The cubic root of 378089640 is about 723.0998295375.

The spelling of 378089640 in words is "three hundred seventy-eight million, eighty-nine thousand, six hundred forty".