3542815012800 has 252 divisors, whose sum is σ = 13521082091640. Its totient is φ = 809786234880.

The previous prime is 3542815012771. The next prime is 3542815012859. The reversal of 3542815012800 is 82105182453.

3542815012800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542815012800³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7296295 + ... + 7766694.

Almost surely, 2^{3542815012800} is an apocalyptic number.

3542815012800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3542815012800 is an abundant number, since it is smaller than the sum of its proper divisors (9978267078840).

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

3542815012800 is a wasteful number, since it uses less digits than its factorization.

3542815012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063028 (or 15063006 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 3542815012800 in words is "three trillion, five hundred forty-two billion, eight hundred fifteen million, twelve thousand, eight hundred".