378024 has 32 divisors (see below), whose sum is σ = 996000. Its totient is φ = 119232.

The previous prime is 378023. The next prime is 378041. The reversal of 378024 is 420873.

378024 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 377985 and 378003.

It is not an unprimeable number, because it can be changed into a prime (378023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (31125).

2³⁷⁸⁰²⁴ 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 378024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498000).

378024 is an abundant number, since it is smaller than the sum of its proper divisors (617976).

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

378024 is a wasteful number, since it uses less digits than its factorization.

378024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 378024 is about 614.8365636492. The cubic root of 378024 is about 72.3057981419.

378024 divided by its sum of digits (24) gives a palindrome (15751).

Adding to 378024 its reverse (420873), we get a palindrome (798897).

Subtracting 378024 from its reverse (420873), we obtain a square (42849 = 207²).

The spelling of 378024 in words is "three hundred seventy-eight thousand, twenty-four".