378624 has 72 divisors (see below), whose sum is σ = 1103760. Its totient is φ = 114688.

The previous prime is 378619. The next prime is 378629. The reversal of 378624 is 426873.

It is an interprime number because it is at equal distance from previous prime (378619) and next prime (378629).

It is a super-2 number, since 2×378624² = 286712266752, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3² + 7³ + 6⁷ + 8⁵ + 2⁵ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 378591 and 378600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13042 + ... + 13070.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2³⁷⁸⁶²⁴ is an apocalyptic number.

378624 is a gapful number since it is divisible by the number (34) 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 378624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551880).

378624 is an abundant number, since it is smaller than the sum of its proper divisors (725136).

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

378624 is a wasteful number, since it uses less digits than its factorization.

378624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 51 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 378624 is about 615.3243047369. The cubic root of 378624 is about 72.3440325277.

The spelling of 378624 in words is "three hundred seventy-eight thousand, six hundred twenty-four".