3504249456552 has 288 divisors, whose sum is σ = 10788317205120. Its totient is φ = 1021323029760.

The previous prime is 3504249456517. The next prime is 3504249456569. The reversal of 3504249456552 is 2556549424053.

3504249456552 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 2 + 49 + 45 + 6 + 552 = 666.

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 71 ways as a sum of consecutive naturals, for example, 50965477 + ... + 51034187.

It is an arithmetic number, because the mean of its divisors is an integer number (37459434740).

Almost surely, 2^{3504249456552} 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 3504249456552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394158602560).

3504249456552 is an abundant number, since it is smaller than the sum of its proper divisors (7284067748568).

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

3504249456552 is a wasteful number, since it uses less digits than its factorization.

3504249456552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68885 (or 68855 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 3504249456552 in words is "three trillion, five hundred four billion, two hundred forty-nine million, four hundred fifty-six thousand, five hundred fifty-two".