3505342201632 has 144 divisors (see below), whose sum is σ = 10659191837112. Its totient is φ = 1088826777600.

The previous prime is 3505342201631. The next prime is 3505342201693. The reversal of 3505342201632 is 2361022435053.

3505342201632 is a `hidden beast` number, since 3 + 50 + 5 + 342 + 201 + 63 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3132602647056 + 372739554576 = 1769916^2 + 610524^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (3505342201631) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3049863 + ... + 4038854.

Almost surely, 2^{3505342201632} is an apocalyptic number.

3505342201632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3505342201632 is an abundant number, since it is smaller than the sum of its proper divisors (7153849635480).

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

3505342201632 is a wasteful number, since it uses less digits than its factorization.

3505342201632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088851 (or 7088840 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 3505342201632 its reverse (2361022435053), we get a palindrome (5866364636685).

The spelling of 3505342201632 in words is "three trillion, five hundred five billion, three hundred forty-two million, two hundred one thousand, six hundred thirty-two".