3536079120 has 360 divisors, whose sum is σ = 14013596376. Its totient is φ = 796594176.

The previous prime is 3536079119. The next prime is 3536079121. The reversal of 3536079120 is 219706353.

3536079120 is a `hidden beast` number, since 35 + 3 + 607 + 9 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3536079119) and next prime (3536079121).

It can be written as a sum of positive squares in 4 ways, for example, as 1447954704 + 2088124416 = 38052^2 + 45696^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3536079121) 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 71 ways as a sum of consecutive naturals, for example, 2574754 + ... + 2576126.

Almost surely, 2^3536079120 is an apocalyptic number.

3536079120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3536079120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006798188).

3536079120 is an abundant number, since it is smaller than the sum of its proper divisors (10477517256).

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

3536079120 is a wasteful number, since it uses less digits than its factorization.

3536079120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3536079120 is about 59464.9402589459. The cubic root of 3536079120 is about 1523.4936834601.

The spelling of 3536079120 in words is "three billion, five hundred thirty-six million, seventy-nine thousand, one hundred twenty".