378133712 has 60 divisors (see below), whose sum is σ = 810664260. Its totient is φ = 170734080.

The previous prime is 378133711. The next prime is 378133751. The reversal of 378133712 is 217331873.

It can be written as a sum of positive squares in 2 ways, for example, as 187251856 + 190881856 = 13684^2 + 13816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378133711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334364 + ... + 335492.

It is an arithmetic number, because the mean of its divisors is an integer number (13511071).

Almost surely, 2^378133712 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 378133712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405332130).

378133712 is an abundant number, since it is smaller than the sum of its proper divisors (432530548).

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

378133712 is a wasteful number, since it uses less digits than its factorization.

378133712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 378133712 is about 19445.6604927680. The cubic root of 378133712 is about 723.1279244777.

The spelling of 378133712 in words is "three hundred seventy-eight million, one hundred thirty-three thousand, seven hundred twelve".