378355968 has 288 divisors, whose sum is σ = 1223129600. Its totient is φ = 114960384.

The previous prime is 378355963. The next prime is 378355993. The reversal of 378355968 is 869553873.

It is a happy number.

378355968 is a `hidden beast` number, since 3 + 7 + 83 + 559 + 6 + 8 = 666.

378355968 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 (288).

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

It is not an unprimeable number, because it can be changed into a prime (378355963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5647071 + ... + 5647137.

Almost surely, 2^378355968 is an apocalyptic number.

378355968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611564800).

378355968 is an abundant number, since it is smaller than the sum of its proper divisors (844773632).

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

378355968 is a wasteful number, since it uses less digits than its factorization.

378355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 378355968 is about 19451.3744501513. The cubic root of 378355968 is about 723.2695745840.

The spelling of 378355968 in words is "three hundred seventy-eight million, three hundred fifty-five thousand, nine hundred sixty-eight".