378965000 has 40 divisors (see below), whose sum is σ = 887926710. Its totient is φ = 151584000.

The previous prime is 378964991. The next prime is 378965021. The reversal of 378965000 is 569873.

It can be written as a sum of positive squares in 5 ways, for example, as 27102436 + 351862564 = 5206^2 + 18758^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×378965000² = 287228942450000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 9 ways as a sum of consecutive naturals, for example, 32897 + ... + 42896.

Almost surely, 2^378965000 is an apocalyptic number.

It is an amenable number.

378965000 is an abundant number, since it is smaller than the sum of its proper divisors (508961710).

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

378965000 is an equidigital number, since it uses as much as digits as its factorization.

378965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75819 (or 75800 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 378965000 is about 19467.0233985579. The cubic root of 378965000 is about 723.6574440441.

The spelling of 378965000 in words is "three hundred seventy-eight million, nine hundred sixty-five thousand".