3542241680 has 40 divisors (see below), whose sum is σ = 8239956984. Its totient is φ = 1416166400.

The previous prime is 3542241679. The next prime is 3542241701. The reversal of 3542241680 is 861422453.

It can be written as a sum of positive squares in 4 ways, for example, as 454883584 + 3087358096 = 21328^2 + 55564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×3542241680³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3542241680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160940 + ... + 181620.

Almost surely, 2^3542241680 is an apocalyptic number.

It is an amenable number.

3542241680 is an abundant number, since it is smaller than the sum of its proper divisors (4697715304).

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

3542241680 is a wasteful number, since it uses less digits than its factorization.

3542241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22835 (or 22829 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 3542241680 is about 59516.7344534291. The cubic root of 3542241680 is about 1524.3782010413.

The spelling of 3542241680 in words is "three billion, five hundred forty-two million, two hundred forty-one thousand, six hundred eighty".