3542132000 has 288 divisors, whose sum is σ = 10065129984. Its totient is φ = 1214784000.

The previous prime is 3542131979. The next prime is 3542132003. The reversal of 3542132000 is 2312453.

It is a happy number.

It is a super-3 number, since 3×3542132000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15883889 + ... + 15884111.

It is an arithmetic number, because the mean of its divisors is an integer number (34948368).

Almost surely, 2^3542132000 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 3542132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032564992).

3542132000 is an abundant number, since it is smaller than the sum of its proper divisors (6522997984).

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

3542132000 is a wasteful number, since it uses less digits than its factorization.

3542132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3542132000 is about 59515.8130247752. The cubic root of 3542132000 is about 1524.3624675462.

Adding to 3542132000 its reverse (2312453), we get a palindrome (3544444453).

The spelling of 3542132000 in words is "three billion, five hundred forty-two million, one hundred thirty-two thousand".