378385600 has 84 divisors (see below), whose sum is σ = 937131984. Its totient is φ = 150369280.

The previous prime is 378385577. The next prime is 378385613. The reversal of 378385600 is 6583873.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 276117 + ... + 277483.

Almost surely, 2^378385600 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 378385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468565992).

378385600 is an abundant number, since it is smaller than the sum of its proper divisors (558746384).

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

378385600 is a wasteful number, since it uses less digits than its factorization.

378385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 378385600 is about 19452.1361294846. The cubic root of 378385600 is about 723.2884557139.

The spelling of 378385600 in words is "three hundred seventy-eight million, three hundred eighty-five thousand, six hundred".