3521574020160 has 672 divisors, whose sum is σ = 14470195364352. Its totient is φ = 768592281600.

The previous prime is 3521574020147. The next prime is 3521574020213. The reversal of 3521574020160 is 610204751253.

3521574020160 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 574 + 0 + 20 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278665362 + ... + 278677998.

It is an arithmetic number, because the mean of its divisors is an integer number (21533028816).

Almost surely, 2^{3521574020160} is an apocalyptic number.

3521574020160 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 3521574020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235097682176).

3521574020160 is an abundant number, since it is smaller than the sum of its proper divisors (10948621344192).

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

3521574020160 is a wasteful number, since it uses less digits than its factorization.

3521574020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13291 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 3521574020160 in words is "three trillion, five hundred twenty-one billion, five hundred seventy-four million, twenty thousand, one hundred sixty".