3542181853392 has 640 divisors, whose sum is σ = 12695365222400. Its totient is φ = 920738617344.

The previous prime is 3542181853373. The next prime is 3542181853411. The reversal of 3542181853392 is 2933581812453.

3542181853392 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 1 + 8 + 18 + 533 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (3542181853373) and next prime (3542181853411).

It is a super-3 number, since 3×3542181853392³ (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 783839709 + ... + 783844227.

It is an arithmetic number, because the mean of its divisors is an integer number (19836508160).

Almost surely, 2^{3542181853392} 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 3542181853392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347682611200).

3542181853392 is an abundant number, since it is smaller than the sum of its proper divisors (9153183369008).

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

3542181853392 is a wasteful number, since it uses less digits than its factorization.

3542181853392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4828 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 3542181853392 in words is "three trillion, five hundred forty-two billion, one hundred eighty-one million, eight hundred fifty-three thousand, three hundred ninety-two".