378296400 has 60 divisors (see below), whose sum is σ = 1211813312. Its totient is φ = 100878720.

The previous prime is 378296389. The next prime is 378296453. The reversal of 378296400 is 4692873.

378296400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156424 + ... + 158823.

Almost surely, 2^378296400 is an apocalyptic number.

378296400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378296400 is an abundant number, since it is smaller than the sum of its proper divisors (833516912).

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

378296400 is a wasteful number, since it uses less digits than its factorization.

378296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315268 (or 315257 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 378296400 is about 19449.8431870285. The cubic root of 378296400 is about 723.2316156363.

The spelling of 378296400 in words is "three hundred seventy-eight million, two hundred ninety-six thousand, four hundred".