3542712418400 has 36 divisors (see below), whose sum is σ = 8648646693372. Its totient is φ = 1417084967040.

The previous prime is 3542712418391. The next prime is 3542712418409. The reversal of 3542712418400 is 48142172453.

It is an interprime number because it is at equal distance from previous prime (3542712418391) and next prime (3542712418409).

It is a super-3 number, since 3×3542712418400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3542712418409) 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 5 ways as a sum of consecutive naturals, for example, 2214194462 + ... + 2214196061.

It is an arithmetic number, because the mean of its divisors is an integer number (240240185927).

Almost surely, 2^{3542712418400} is an apocalyptic number.

It is an amenable number.

3542712418400 is an abundant number, since it is smaller than the sum of its proper divisors (5105934274972).

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

3542712418400 is a wasteful number, since it uses less digits than its factorization.

3542712418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428390543 (or 4428390530 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 3542712418400 in words is "three trillion, five hundred forty-two billion, seven hundred twelve million, four hundred eighteen thousand, four hundred".