3536918784 has 405 divisors, whose sum is σ = 12479783547. Its totient is φ = 993420288.

The previous prime is 3536918779. The next prime is 3536918789. The reversal of 3536918784 is 4878196353.

The square root of 3536918784 is 59472.

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

It is an interprime number because it is at equal distance from previous prime (3536918779) and next prime (3536918789).

It is a super-2 number, since 2×3536918784² = 25019588969224077312, which contains 22 as substring.

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 3536918784.

It is not an unprimeable number, because it can be changed into a prime (3536918789) 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 44 ways as a sum of consecutive naturals, for example, 59947747 + ... + 59947805.

Almost surely, 2^3536918784 is an apocalyptic number.

3536918784 is the 59472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3536918784

3536918784 is an abundant number, since it is smaller than the sum of its proper divisors (8942864763).

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

3536918784 is an frugal number, since it uses more digits than its factorization.

3536918784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 71 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The cubic root of 3536918784 is about 1523.6142616030.

The spelling of 3536918784 in words is "three billion, five hundred thirty-six million, nine hundred eighteen thousand, seven hundred eighty-four".