3542125400000 has 168 divisors, whose sum is σ = 9584263099152. Its totient is φ = 1288044800000.

The previous prime is 3542125399963. The next prime is 3542125400041. The reversal of 3542125400000 is 45212453.

It is a happy number.

It is a super-3 number, since 3×3542125400000³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1394972 + ... + 3005028.

It is an arithmetic number, because the mean of its divisors is an integer number (57049185114).

Almost surely, 2^{3542125400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542125400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792131549576).

3542125400000 is an abundant number, since it is smaller than the sum of its proper divisors (6042137699152).

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

3542125400000 is an equidigital number, since it uses as much as digits as its factorization.

3542125400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610105 (or 1610075 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 3542125400000 in words is "three trillion, five hundred forty-two billion, one hundred twenty-five million, four hundred thousand".