3542043120000 has 640 divisors, whose sum is σ = 14658062918400. Its totient is φ = 736005120000.

The previous prime is 3542043119981. The next prime is 3542043120001. The reversal of 3542043120000 is 213402453.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×3542043120000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542043120001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 18384166 + ... + 18575834.

It is an arithmetic number, because the mean of its divisors is an integer number (22903223310).

Almost surely, 2^{3542043120000} is an apocalyptic number.

3542043120000 is a gapful number since it is divisible by the number (30) 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 3542043120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329031459200).

3542043120000 is an abundant number, since it is smaller than the sum of its proper divisors (11116019798400).

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

3542043120000 is a wasteful number, since it uses less digits than its factorization.

3542043120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191724 (or 191697 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 3542043120000 its reverse (213402453), we get a palindrome (3542256522453).

The spelling of 3542043120000 in words is "three trillion, five hundred forty-two billion, forty-three million, one hundred twenty thousand".