3575781340416 has 216 divisors, whose sum is σ = 10926403795944. Its totient is φ = 1120777666560.

The previous prime is 3575781340393. The next prime is 3575781340427. The reversal of 3575781340416 is 6140431875753.

3575781340416 is a `hidden beast` number, since 3 + 5 + 7 + 578 + 13 + 40 + 4 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 582327714816 + 2993453625600 = 763104^2 + 1730160^2 .

It is a super-3 number, since 3×3575781340416³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42925686 + ... + 43008906.

It is an arithmetic number, because the mean of its divisors is an integer number (50585202759).

Almost surely, 2^{3575781340416} is an apocalyptic number.

3575781340416 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 3575781340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463201897972).

3575781340416 is an abundant number, since it is smaller than the sum of its proper divisors (7350622455528).

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

3575781340416 is a wasteful number, since it uses less digits than its factorization.

3575781340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84357 (or 84340 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 3575781340416 in words is "three trillion, five hundred seventy-five billion, seven hundred eighty-one million, three hundred forty thousand, four hundred sixteen".