3516321489408 has 1440 divisors, whose sum is σ = 13232909289600. Its totient is φ = 880226500608.

The previous prime is 3516321489403. The next prime is 3516321489409. The reversal of 3516321489408 is 8049841236153.

It is a happy number.

3516321489408 is a `hidden beast` number, since 3 + 5 + 16 + 3 + 214 + 8 + 9 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (3516321489403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59598669283 + ... + 59598669341.

It is an arithmetic number, because the mean of its divisors is an integer number (9189520340).

Almost surely, 2^{3516321489408} 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 3516321489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616454644800).

3516321489408 is an abundant number, since it is smaller than the sum of its proper divisors (9716587800192).

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

3516321489408 is an equidigital number, since it uses as much as digits as its factorization.

3516321489408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3516321489408 in words is "three trillion, five hundred sixteen billion, three hundred twenty-one million, four hundred eighty-nine thousand, four hundred eight".