3542069577816 has 288 divisors, whose sum is σ = 12331104065280. Its totient is φ = 898621637760.

The previous prime is 3542069577811. The next prime is 3542069577833. The reversal of 3542069577816 is 6187759602453.

3542069577816 is a `hidden beast` number, since 3 + 5 + 42 + 0 + 6 + 9 + 577 + 8 + 16 = 666.

It is a super-3 number, since 3×3542069577816³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542069577811) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1946941 + ... + 3297683.

It is an arithmetic number, because the mean of its divisors is an integer number (42816333560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3542069577816 = 7084139155632, but 3⋅3542069577816 = 10626208733448 is not.

Almost surely, 2^{3542069577816} is an apocalyptic number.

3542069577816 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 3542069577816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165552032640).

3542069577816 is an abundant number, since it is smaller than the sum of its proper divisors (8789034487464).

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

3542069577816 is a wasteful number, since it uses less digits than its factorization.

3542069577816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350827 (or 1350809 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

It can be divided in two parts, 3542069 and 577816, that added together give a triangular number (4119885 = T₂₈₇₀).

The spelling of 3542069577816 in words is "three trillion, five hundred forty-two billion, sixty-nine million, five hundred seventy-seven thousand, eight hundred sixteen".