3504495309552 has 400 divisors, whose sum is σ = 10580772787200. Its totient is φ = 1118599372800.

The previous prime is 3504495309551. The next prime is 3504495309569. The reversal of 3504495309552 is 2559035944053.

3504495309552 is a `hidden beast` number, since 3 + 50 + 4 + 4 + 9 + 5 + 30 + 9 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504495309551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2363111403 + ... + 2363112885.

It is an arithmetic number, because the mean of its divisors is an integer number (26451931968).

Almost surely, 2^{3504495309552} 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 3504495309552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290386393600).

3504495309552 is an abundant number, since it is smaller than the sum of its proper divisors (7076277477648).

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

3504495309552 is a wasteful number, since it uses less digits than its factorization.

3504495309552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 3504495309552 in words is "three trillion, five hundred four billion, four hundred ninety-five million, three hundred nine thousand, five hundred fifty-two".