3542727563136 has 512 divisors, whose sum is σ = 11200733913600. Its totient is φ = 1098495590400.

The previous prime is 3542727563069. The next prime is 3542727563197. The reversal of 3542727563136 is 6313657272453.

3542727563136 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 72 + 7 + 563 + 1 + 3 + 6 = 666.

It is a super-3 number, since 3×3542727563136³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2255077231 + ... + 2255078801.

It is an arithmetic number, because the mean of its divisors is an integer number (21876433425).

Almost surely, 2^{3542727563136} is an apocalyptic number.

3542727563136 is a gapful number since it is divisible by the number (36) 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 3542727563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600366956800).

3542727563136 is an abundant number, since it is smaller than the sum of its proper divisors (7658006350464).

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

3542727563136 is a wasteful number, since it uses less digits than its factorization.

3542727563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2017 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 54.

The spelling of 3542727563136 in words is "three trillion, five hundred forty-two billion, seven hundred twenty-seven million, five hundred sixty-three thousand, one hundred thirty-six".