3531438549504 has 640 divisors, whose sum is σ = 11235623731200. Its totient is φ = 1105563561984.

The previous prime is 3531438549491. The next prime is 3531438549521. The reversal of 3531438549504 is 4059458341353.

3531438549504 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 43 + 8 + 549 + 50 + 4 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2701941619 + ... + 2701942925.

It is an arithmetic number, because the mean of its divisors is an integer number (17555662080).

Almost surely, 2^{3531438549504} 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 3531438549504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617811865600).

3531438549504 is an abundant number, since it is smaller than the sum of its proper divisors (7704185181696).

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

3531438549504 is an equidigital number, since it uses as much as digits as its factorization.

3531438549504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 3531438549504 in words is "three trillion, five hundred thirty-one billion, four hundred thirty-eight million, five hundred forty-nine thousand, five hundred four".