3542012144 has 80 divisors (see below), whose sum is σ = 7853068800. Its totient is φ = 1531918080.

The previous prime is 3542012141. The next prime is 3542012189. The reversal of 3542012144 is 4412102453.

3542012144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542012144³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542012141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803354 + ... + 807750.

It is an arithmetic number, because the mean of its divisors is an integer number (98163360).

Almost surely, 2^3542012144 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 3542012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926534400).

3542012144 is an abundant number, since it is smaller than the sum of its proper divisors (4311056656).

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

3542012144 is a wasteful number, since it uses less digits than its factorization.

3542012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4638 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 3542012144 is about 59514.8060905856. The cubic root of 3542012144 is about 1524.3452739418.

Adding to 3542012144 its reverse (4412102453), we get a palindrome (7954114597).

The spelling of 3542012144 in words is "three billion, five hundred forty-two million, twelve thousand, one hundred forty-four".