378791600 has 240 divisors, whose sum is σ = 1096001280. Its totient is φ = 124185600.

The previous prime is 378791593. The next prime is 378791617. The reversal of 378791600 is 6197873.

378791600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1922702 + ... + 1922898.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2^378791600 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 378791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548000640).

378791600 is an abundant number, since it is smaller than the sum of its proper divisors (717209680).

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

378791600 is a wasteful number, since it uses less digits than its factorization.

378791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 41.

The square root of 378791600 is about 19462.5692034736. The cubic root of 378791600 is about 723.5470544793.

The spelling of 378791600 in words is "three hundred seventy-eight million, seven hundred ninety-one thousand, six hundred".