3542389272576 has 2184 divisors, whose sum is σ = 14108981511168. Its totient is φ = 877879296000.

The previous prime is 3542389272563. The next prime is 3542389272593. The reversal of 3542389272576 is 6752729832453.

3542389272576 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 38 + 9 + 27 + 2 + 576 = 666.

It is a super-3 number, since 3×3542389272576³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 49892806621 + ... + 49892806691.

Almost surely, 2^{3542389272576} is an apocalyptic number.

3542389272576 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 3542389272576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7054490755584).

3542389272576 is an abundant number, since it is smaller than the sum of its proper divisors (10566592238592).

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

3542389272576 is an equidigital number, since it uses as much as digits as its factorization.

3542389272576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 125 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 3542389272576 in words is "three trillion, five hundred forty-two billion, three hundred eighty-nine million, two hundred seventy-two thousand, five hundred seventy-six".