378377424 has 60 divisors (see below), whose sum is σ = 1062106500. Its totient is φ = 125747712.

The previous prime is 378377407. The next prime is 378377453. The reversal of 378377424 is 424773873.

It can be written as a sum of positive squares in 2 ways, for example, as 202549824 + 175827600 = 14232^2 + 13260^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 378377424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46492 + ... + 54020.

It is an arithmetic number, because the mean of its divisors is an integer number (17701775).

Almost surely, 2^378377424 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 378377424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531053250).

378377424 is an abundant number, since it is smaller than the sum of its proper divisors (683729076).

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

378377424 is a wasteful number, since it uses less digits than its factorization.

378377424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7883 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 378377424 is about 19451.9259714816. The cubic root of 378377424 is about 723.2832461702.

The spelling of 378377424 in words is "three hundred seventy-eight million, three hundred seventy-seven thousand, four hundred twenty-four".