3547350416016 has 240 divisors, whose sum is σ = 11125773404928. Its totient is φ = 1045629388800.

The previous prime is 3547350415981. The next prime is 3547350416083. The reversal of 3547350416016 is 6106140537453.

3547350416016 is a `hidden beast` number, since 3 + 5 + 4 + 7 + 35 + 0 + 4 + 1 + 601 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387218476 + ... + 387227636.

Almost surely, 2^{3547350416016} is an apocalyptic number.

3547350416016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3547350416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562886702464).

3547350416016 is an abundant number, since it is smaller than the sum of its proper divisors (7578422988912).

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

3547350416016 is a wasteful number, since it uses less digits than its factorization.

3547350416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15830 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3547350416016 in words is "three trillion, five hundred forty-seven billion, three hundred fifty million, four hundred sixteen thousand, sixteen".