378097000 has 128 divisors (see below), whose sum is σ = 978531840. Its totient is φ = 136012800.

The previous prime is 378096973. The next prime is 378097001. The reversal of 378097000 is 790873.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378097001) 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, 390517 + ... + 391483.

It is an arithmetic number, because the mean of its divisors is an integer number (7644780).

Almost surely, 2^378097000 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 378097000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489265920).

378097000 is an abundant number, since it is smaller than the sum of its proper divisors (600434840).

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

378097000 is a wasteful number, since it uses less digits than its factorization.

378097000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 378097000 is about 19444.7165060332. The cubic root of 378097000 is about 723.1045215290.

The spelling of 378097000 in words is "three hundred seventy-eight million, ninety-seven thousand".