3542536512 has 56 divisors (see below), whose sum is σ = 10414406400. Its totient is φ = 1180844928.

The previous prime is 3542536511. The next prime is 3542536559. The reversal of 3542536512 is 2156352453.

3542536512 is a `hidden beast` number, since 3 + 542 + 53 + 65 + 1 + 2 = 666.

It is a super-3 number, since 3×3542536512³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (3542536511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023312 + ... + 1026767.

Almost surely, 2^3542536512 is an apocalyptic number.

3542536512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3542536512 is an abundant number, since it is smaller than the sum of its proper divisors (6871869888).

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

3542536512 is a wasteful number, since it uses less digits than its factorization.

3542536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050100 (or 2050084 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 3542536512 is about 59519.2112850968. The cubic root of 3542536512 is about 1524.4204928107.

Adding to 3542536512 its reverse (2156352453), we get a palindrome (5698888965).

The spelling of 3542536512 in words is "three billion, five hundred forty-two million, five hundred thirty-six thousand, five hundred twelve".