3542444221680 has 2520 divisors, whose sum is σ = 16422025360608. Its totient is φ = 691612121088.

The previous prime is 3542444221649. The next prime is 3542444221703. The reversal of 3542444221680 is 861224442453.

3542444221680 is a `hidden beast` number, since 3 + 5 + 42 + 4 + 442 + 2 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-3 number, since 3×3542444221680³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 503 ways as a sum of consecutive naturals, for example, 82382423739 + ... + 82382423781.

Almost surely, 2^{3542444221680} is an apocalyptic number.

3542444221680 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 3542444221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211012680304).

3542444221680 is an abundant number, since it is smaller than the sum of its proper divisors (12879581138928).

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

3542444221680 is a wasteful number, since it uses less digits than its factorization.

3542444221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 3542444221680 in words is "three trillion, five hundred forty-two billion, four hundred forty-four million, two hundred twenty-one thousand, six hundred eighty".