3534040544000 has 288 divisors, whose sum is σ = 9008617153536. Its totient is φ = 1380837273600.

The previous prime is 3534040543981. The next prime is 3534040544003. The reversal of 3534040544000 is 4450404353.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3534040544003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882845999 + ... + 882850001.

It is an arithmetic number, because the mean of its divisors is an integer number (31279920672).

Almost surely, 2^{3534040544000} 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 3534040544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504308576768).

3534040544000 is an abundant number, since it is smaller than the sum of its proper divisors (5474576609536).

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

3534040544000 is an equidigital number, since it uses as much as digits as its factorization.

3534040544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 3534040544000 its reverse (4450404353), we get a palindrome (3538490948353).

The spelling of 3534040544000 in words is "three trillion, five hundred thirty-four billion, forty million, five hundred forty-four thousand".