378429200 has 60 divisors (see below), whose sum is σ = 912815460. Its totient is φ = 150766080.

The previous prime is 378429193. The next prime is 378429239. The reversal of 378429200 is 2924873.

It can be written as a sum of positive squares in 6 ways, for example, as 4857616 + 373571584 = 2204^2 + 19328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105842 + ... + 109358.

It is an arithmetic number, because the mean of its divisors is an integer number (15213591).

Almost surely, 2^378429200 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 378429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456407730).

378429200 is an abundant number, since it is smaller than the sum of its proper divisors (534386260).

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

378429200 is a wasteful number, since it uses less digits than its factorization.

378429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 378429200 is about 19453.2567967423. The cubic root of 378429200 is about 723.3162352819.

The spelling of 378429200 in words is "three hundred seventy-eight million, four hundred twenty-nine thousand, two hundred".