378708400 has 120 divisors (see below), whose sum is σ = 1073613824. Its totient is φ = 125625600.

The previous prime is 378708389. The next prime is 378708461. The reversal of 378708400 is 4807873.

It is a self number, because there is not a number n which added to its sum of digits gives 378708400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84619 + ... + 88981.

Almost surely, 2^378708400 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 378708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536806912).

378708400 is an abundant number, since it is smaller than the sum of its proper divisors (694905424).

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

378708400 is a wasteful number, since it uses less digits than its factorization.

378708400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 378708400 is about 19460.4316498890. The cubic root of 378708400 is about 723.4940758995.

The spelling of 378708400 in words is "three hundred seventy-eight million, seven hundred eight thousand, four hundred".