378485136 has 140 divisors (see below), whose sum is σ = 1130472412. Its totient is φ = 122611968.

The previous prime is 378485131. The next prime is 378485143. The reversal of 378485136 is 631584873.

378485136 is a `hidden beast` number, since 37 + 8 + 485 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 329204736 + 49280400 = 18144^2 + 7020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 378485091 and 378485100.

It is not an unprimeable number, because it can be changed into a prime (378485131) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 431130 + ... + 432006.

Almost surely, 2^378485136 is an apocalyptic number.

378485136 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 378485136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565236206).

378485136 is an abundant number, since it is smaller than the sum of its proper divisors (751987276).

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

378485136 is an equidigital number, since it uses as much as digits as its factorization.

378485136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 919 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 378485136 is about 19454.6944463284. The cubic root of 378485136 is about 723.3518715592.

The spelling of 378485136 in words is "three hundred seventy-eight million, four hundred eighty-five thousand, one hundred thirty-six".