3536229312 has 336 divisors, whose sum is σ = 13109521152. Its totient is φ = 918190080.

The previous prime is 3536229311. The next prime is 3536229317. The reversal of 3536229312 is 2139226353.

3536229312 is a `hidden beast` number, since 3 + 5 + 362 + 293 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536229311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196028 + ... + 1198980.

It is an arithmetic number, because the mean of its divisors is an integer number (39016432).

Almost surely, 2^3536229312 is an apocalyptic number.

3536229312 is a gapful number since it is divisible by the number (32) 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 3536229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554760576).

3536229312 is an abundant number, since it is smaller than the sum of its proper divisors (9573291840).

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

3536229312 is a wasteful number, since it uses less digits than its factorization.

3536229312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2976 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3536229312 is about 59466.2031073113. The cubic root of 3536229312 is about 1523.5152528609.

The spelling of 3536229312 in words is "three billion, five hundred thirty-six million, two hundred twenty-nine thousand, three hundred twelve".