378399168 has 336 divisors, whose sum is σ = 1337767200. Its totient is φ = 104509440.

The previous prime is 378399157. The next prime is 378399173. The reversal of 378399168 is 861993873.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×378399168³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1959552) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3471498 + ... + 3471606.

It is an arithmetic number, because the mean of its divisors is an integer number (3981450).

Almost surely, 2^378399168 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 378399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668883600).

378399168 is an abundant number, since it is smaller than the sum of its proper divisors (959368032).

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

378399168 is a wasteful number, since it uses less digits than its factorization.

378399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 378399168 is about 19452.4848798296. The cubic root of 378399168 is about 723.2971007403.

The spelling of 378399168 in words is "three hundred seventy-eight million, three hundred ninety-nine thousand, one hundred sixty-eight".