3542098666272 has 48 divisors (see below), whose sum is σ = 9306485127072. Its totient is φ = 1179623221760.

The previous prime is 3542098666231. The next prime is 3542098666279. The reversal of 3542098666272 is 2726668902453.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3542098666272³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3542098666279) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16711854 + ... + 16922477.

It is an arithmetic number, because the mean of its divisors is an integer number (193885106814).

Almost surely, 2^{3542098666272} is an apocalyptic number.

3542098666272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3542098666272 is an abundant number, since it is smaller than the sum of its proper divisors (5764386460800).

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

3542098666272 is a wasteful number, since it uses less digits than its factorization.

3542098666272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33635441 (or 33635433 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 3542098666272 in words is "three trillion, five hundred forty-two billion, ninety-eight million, six hundred sixty-six thousand, two hundred seventy-two".