378495936 has 448 divisors, whose sum is σ = 1433779200. Its totient is φ = 95219712.

The previous prime is 378495919. The next prime is 378495937. The reversal of 378495936 is 639594873.

378495936 is a `hidden beast` number, since 3 + 7 + 8 + 49 + 593 + 6 = 666.

378495936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378495937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4560151 + ... + 4560233.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2^378495936 is an apocalyptic number.

378495936 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 378495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716889600).

378495936 is an abundant number, since it is smaller than the sum of its proper divisors (1055283264).

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

378495936 is a wasteful number, since it uses less digits than its factorization.

378495936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 378495936 is about 19454.9720123160. The cubic root of 378495936 is about 723.3587517289.

The spelling of 378495936 in words is "three hundred seventy-eight million, four hundred ninety-five thousand, nine hundred thirty-six".