3521148670080 has 384 divisors, whose sum is σ = 12690581707440. Its totient is φ = 898783641600.

The previous prime is 3521148670073. The next prime is 3521148670139. The reversal of 3521148670080 is 800768411253.

3521148670080 is a `hidden beast` number, since 3 + 5 + 21 + 1 + 486 + 70 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 746205724224 + 2774942945856 = 863832^2 + 1665816^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12375820 + ... + 12657140.

Almost surely, 2^{3521148670080} is an apocalyptic number.

3521148670080 is a gapful number since it is divisible by the number (30) 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 3521148670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345290853720).

3521148670080 is an abundant number, since it is smaller than the sum of its proper divisors (9169433037360).

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

3521148670080 is a wasteful number, since it uses less digits than its factorization.

3521148670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281440 (or 281425 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3521148670080 in words is "three trillion, five hundred twenty-one billion, one hundred forty-eight million, six hundred seventy thousand, eighty".