378024570 has 480 divisors, whose sum is σ = 1390435200. Its totient is φ = 71850240.

The previous prime is 378024553. The next prime is 378024593. The reversal of 378024570 is 75420873.

378024570 is a `hidden beast` number, since 3 + 7 + 80 + 2 + 4 + 570 = 666.

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 239 ways as a sum of consecutive naturals, for example, 13035316 + ... + 13035344.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^378024570 is an apocalyptic number.

378024570 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378024570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

378024570 is an abundant number, since it is smaller than the sum of its proper divisors (1012410630).

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

378024570 is a wasteful number, since it uses less digits than its factorization.

378024570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 378024570 is about 19442.8539571741. The cubic root of 378024570 is about 723.0583448379.

The spelling of 378024570 in words is "three hundred seventy-eight million, twenty-four thousand, five hundred seventy".