3542135400 has 192 divisors, whose sum is σ = 12621960000. Its totient is φ = 911957760.

The previous prime is 3542135353. The next prime is 3542135417. The reversal of 3542135400 is 45312453.

It is a super-3 number, since 3×3542135400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145291 + ... + 167909.

It is an arithmetic number, because the mean of its divisors is an integer number (65739375).

Almost surely, 2^3542135400 is an apocalyptic number.

3542135400 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 3542135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310980000).

3542135400 is an abundant number, since it is smaller than the sum of its proper divisors (9079824600).

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

3542135400 is a wasteful number, since it uses less digits than its factorization.

3542135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22673 (or 22658 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3542135400 is about 59515.8415886056. The cubic root of 3542135400 is about 1524.3629552779.

Adding to 3542135400 its reverse (45312453), we get a palindrome (3587447853).

The spelling of 3542135400 in words is "three billion, five hundred forty-two million, one hundred thirty-five thousand, four hundred".