35784036864576 has 2835 divisors, whose sum is σ = 148657334988393. Its totient is φ = 8476220712960.

The previous prime is 35784036864559. The next prime is 35784036864623. The reversal of 35784036864576 is 67546863048753.

The square root of 35784036864576 is 5981976.

It is a perfect power (a square), and thus also a powerful number.

35784036864576 is a `hidden beast` number, since 3 + 5 + 7 + 8 + 40 + 3 + 6 + 8 + 6 + 4 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5293496577600 + 30490540286976 = 2300760^2 + 5521824^2 .

It is a Smith number, since the sum of its digits (72) 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 (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 431132974231 + ... + 431132974313.

Almost surely, 2^{35784036864576} is an apocalyptic number.

35784036864576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35784036864576 is the 5981976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35784036864576

35784036864576 is an abundant number, since it is smaller than the sum of its proper divisors (112873298123817).

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

35784036864576 is a wasteful number, since it uses less digits than its factorization.

35784036864576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 72.

The spelling of 35784036864576 in words is "thirty-five trillion, seven hundred eighty-four billion, thirty-six million, eight hundred sixty-four thousand, five hundred seventy-six".