3542669982720 has 2112 divisors, whose sum is σ = 14866211404800. Its totient is φ = 797058662400.

The previous prime is 3542669982697. The next prime is 3542669982721. The reversal of 3542669982720 is 272899662453.

It is a happy number.

3542669982720 is a `hidden beast` number, since 3 + 5 + 426 + 69 + 9 + 82 + 72 + 0 = 666.

3542669982720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×3542669982720³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542669982721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22564776882 + ... + 22564777038.

Almost surely, 2^{3542669982720} is an apocalyptic number.

3542669982720 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 3542669982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433105702400).

3542669982720 is an abundant number, since it is smaller than the sum of its proper divisors (11323541422080).

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

3542669982720 is a wasteful number, since it uses less digits than its factorization.

3542669982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3542669982720 in words is "three trillion, five hundred forty-two billion, six hundred sixty-nine million, nine hundred eighty-two thousand, seven hundred twenty".