378517536 has 60 divisors (see below), whose sum is σ = 1113217182. Its totient is φ = 126171648.

The previous prime is 378517523. The next prime is 378517549. The reversal of 378517536 is 635715873.

378517536 is a `hidden beast` number, since 37 + 85 + 1 + 7 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (378517523) and next prime (378517549).

It can be written as a sum of positive squares in only one way, i.e., 287505936 + 91011600 = 16956^2 + 9540^2 .

It is a super-2 number, since 2×378517536² = 286551050119022592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 378517491 and 378517500.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 70425 + ... + 75608.

Almost surely, 2^378517536 is an apocalyptic number.

378517536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378517536 is an abundant number, since it is smaller than the sum of its proper divisors (734699646).

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

378517536 is a wasteful number, since it uses less digits than its factorization.

378517536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146055 (or 146038 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 378517536 is about 19455.5271324115. The cubic root of 378517536 is about 723.3725116757.

It can be divided in two parts, 3785 and 17536, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 378517536 in words is "three hundred seventy-eight million, five hundred seventeen thousand, five hundred thirty-six".