3523965009552 has 320 divisors, whose sum is σ = 11490597888000. Its totient is φ = 1025069271552.

The previous prime is 3523965009547. The next prime is 3523965009581. The reversal of 3523965009552 is 2559005693253.

3523965009552 is a `hidden beast` number, since 3 + 5 + 2 + 39 + 6 + 50 + 0 + 9 + 552 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 51076743 + ... + 51145689.

It is an arithmetic number, because the mean of its divisors is an integer number (35908118400).

Almost surely, 2^{3523965009552} 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 3523965009552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745298944000).

3523965009552 is an abundant number, since it is smaller than the sum of its proper divisors (7966632878448).

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

3523965009552 is a wasteful number, since it uses less digits than its factorization.

3523965009552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69475 (or 69463 counting only the distinct ones).

The product of its (nonzero) digits is 10935000, while the sum is 54.

The spelling of 3523965009552 in words is "three trillion, five hundred twenty-three billion, nine hundred sixty-five million, nine thousand, five hundred fifty-two".