378999600 has 120 divisors (see below), whose sum is σ = 1387530240. Its totient is φ = 86626560.

The previous prime is 378999563. The next prime is 378999601. The reversal of 378999600 is 6999873.

378999600 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 (120).

It is not an unprimeable number, because it can be changed into a prime (378999601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14160 + ... + 30959.

It is an arithmetic number, because the mean of its divisors is an integer number (11562752).

Almost surely, 2^378999600 is an apocalyptic number.

378999600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378999600 is an abundant number, since it is smaller than the sum of its proper divisors (1008530640).

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

378999600 is a wasteful number, since it uses less digits than its factorization.

378999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45147 (or 45136 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 378999600 is about 19467.9120606191. The cubic root of 378999600 is about 723.6794669975.

The spelling of 378999600 in words is "three hundred seventy-eight million, nine hundred ninety-nine thousand, six hundred".