3540824418000 has 320 divisors, whose sum is σ = 11492355513600. Its totient is φ = 937885132800.

The previous prime is 3540824417989. The next prime is 3540824418007. The reversal of 3540824418000 is 8144280453.

It is a self number, because there is not a number n which added to its sum of digits gives 3540824418000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3540824418007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1560520866 + ... + 1560523134.

It is an arithmetic number, because the mean of its divisors is an integer number (35913610980).

Almost surely, 2^{3540824418000} is an apocalyptic number.

3540824418000 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 3540824418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746177756800).

3540824418000 is an abundant number, since it is smaller than the sum of its proper divisors (7951531095600).

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

3540824418000 is a wasteful number, since it uses less digits than its factorization.

3540824418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

Adding to 3540824418000 its reverse (8144280453), we get a palindrome (3548968698453).

The spelling of 3540824418000 in words is "three trillion, five hundred forty billion, eight hundred twenty-four million, four hundred eighteen thousand".