378825600 has 96 divisors (see below), whose sum is σ = 1247788440. Its totient is φ = 101017600.

The previous prime is 378825599. The next prime is 378825641. The reversal of 378825600 is 6528873.

It is a tau number, because it is divible by the number of its divisors (96).

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, 10131 + ... + 29330.

Almost surely, 2^378825600 is an apocalyptic number.

378825600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378825600 is an abundant number, since it is smaller than the sum of its proper divisors (868962840).

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

378825600 is a wasteful number, since it uses less digits than its factorization.

378825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39488 (or 39471 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 378825600 is about 19463.4426553989. The cubic root of 378825600 is about 723.5687021468.

The spelling of 378825600 in words is "three hundred seventy-eight million, eight hundred twenty-five thousand, six hundred".