378261576 has 432 divisors, whose sum is σ = 1422897840. Its totient is φ = 93078720.

The previous prime is 378261571. The next prime is 378261581. The reversal of 378261576 is 675162873.

378261576 is a `hidden beast` number, since 3 + 78 + 2 + 6 + 1 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (378261571) and next prime (378261581).

Its product of digits (423360) is a multiple of the sum of its prime divisors (42).

It is not an unprimeable number, because it can be changed into a prime (378261571) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19908495 + ... + 19908513.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745).

Almost surely, 2^378261576 is an apocalyptic number.

378261576 is a gapful number since it is divisible by the number (36) 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 378261576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711448920).

378261576 is an abundant number, since it is smaller than the sum of its proper divisors (1044636264).

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

378261576 is a wasteful number, since it uses less digits than its factorization.

378261576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 378261576 is about 19448.9479406985. The cubic root of 378261576 is about 723.2094226410.

The spelling of 378261576 in words is "three hundred seventy-eight million, two hundred sixty-one thousand, five hundred seventy-six".