3542688215400 has 96 divisors (see below), whose sum is σ = 11361034677600. Its totient is φ = 912140409600.

The previous prime is 3542688215393. The next prime is 3542688215441. The reversal of 3542688215400 is 45128862453.

It is a super-3 number, since 3×3542688215400³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3542688215400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 101783986 + ... + 101818785.

It is an arithmetic number, because the mean of its divisors is an integer number (118344111225).

Almost surely, 2^{3542688215400} is an apocalyptic number.

3542688215400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3542688215400 is an abundant number, since it is smaller than the sum of its proper divisors (7818346462200).

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

3542688215400 is a wasteful number, since it uses less digits than its factorization.

3542688215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203602819 (or 203602810 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 3542688215400 in words is "three trillion, five hundred forty-two billion, six hundred eighty-eight million, two hundred fifteen thousand, four hundred".