3542541117984 has 384 divisors, whose sum is σ = 11333177856000. Its totient is φ = 1067662218240.

The previous prime is 3542541117979. The next prime is 3542541118031. The reversal of 3542541117984 is 4897111452453.

3542541117984 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 541 + 1 + 1 + 7 + 98 + 4 = 666.

It is a super-3 number, since 3×3542541117984³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3542541117984.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548989289 + ... + 1548991575.

It is an arithmetic number, because the mean of its divisors is an integer number (29513484000).

Almost surely, 2^{3542541117984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542541117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666588928000).

3542541117984 is an abundant number, since it is smaller than the sum of its proper divisors (7790636738016).

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

3542541117984 is a wasteful number, since it uses less digits than its factorization.

3542541117984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3119 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 3542541117984 in words is "three trillion, five hundred forty-two billion, five hundred forty-one million, one hundred seventeen thousand, nine hundred eighty-four".