378877536 has 72 divisors (see below), whose sum is σ = 1112215104. Its totient is φ = 122215680.

The previous prime is 378877531. The next prime is 378877561. The reversal of 378877536 is 635778873.

378877536 is a `hidden beast` number, since 37 + 8 + 8 + 77 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378877531) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12291 + ... + 30146.

It is an arithmetic number, because the mean of its divisors is an integer number (15447432).

Almost surely, 2^378877536 is an apocalyptic number.

378877536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378877536 is an abundant number, since it is smaller than the sum of its proper divisors (733337568).

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

378877536 is a wasteful number, since it uses less digits than its factorization.

378877536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42484 (or 42473 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 378877536 is about 19464.7768032413. The cubic root of 378877536 is about 723.6017670953.

The spelling of 378877536 in words is "three hundred seventy-eight million, eight hundred seventy-seven thousand, five hundred thirty-six".