3536857360 has 40 divisors (see below), whose sum is σ = 8228591640. Its totient is φ = 1413814272.

The previous prime is 3536857351. The next prime is 3536857367. The reversal of 3536857360 is 637586353.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 3507955984 = 5376^2 + 59228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3536857360.

It is not an unprimeable number, because it can be changed into a prime (3536857367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115336 + ... + 142744.

It is an arithmetic number, because the mean of its divisors is an integer number (205714791).

Almost surely, 2^3536857360 is an apocalyptic number.

It is an amenable number.

3536857360 is an abundant number, since it is smaller than the sum of its proper divisors (4691734280).

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

3536857360 is a wasteful number, since it uses less digits than its factorization.

3536857360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29035 (or 29029 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The square root of 3536857360 is about 59471.4835866737. The cubic root of 3536857360 is about 1523.6054415886.

The spelling of 3536857360 in words is "three billion, five hundred thirty-six million, eight hundred fifty-seven thousand, three hundred sixty".