378243152 has 120 divisors (see below), whose sum is σ = 895656960. Its totient is φ = 154103040.

The previous prime is 378243097. The next prime is 378243161. The reversal of 378243152 is 251342873.

It is a super-3 number, since 3×378243152³ (a number of 27 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1919918 + ... + 1920114.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^378243152 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 378243152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447828480).

378243152 is an abundant number, since it is smaller than the sum of its proper divisors (517413808).

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

378243152 is a wasteful number, since it uses less digits than its factorization.

378243152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 378243152 is about 19448.4742846322. The cubic root of 378243152 is about 723.1976806547.

The spelling of 378243152 in words is "three hundred seventy-eight million, two hundred forty-three thousand, one hundred fifty-two".