3525353040000 has 320 divisors, whose sum is σ = 12765312917280. Its totient is φ = 854630400000.

The previous prime is 3525353039977. The next prime is 3525353040037. The reversal of 3525353040000 is 403535253.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3525353040000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3525353040000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1972320 + ... + 3307680.

Almost surely, 2^{3525353040000} is an apocalyptic number.

3525353040000 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 3525353040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382656458640).

3525353040000 is an abundant number, since it is smaller than the sum of its proper divisors (9239959877280).

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

3525353040000 is a wasteful number, since it uses less digits than its factorization.

3525353040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335409 (or 1335382 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

Adding to 3525353040000 its reverse (403535253), we get a palindrome (3525756575253).

The spelling of 3525353040000 in words is "three trillion, five hundred twenty-five billion, three hundred fifty-three million, forty thousand".