3542587902720 has 1728 divisors, whose sum is σ = 14082258677760. Its totient is φ = 849213849600.

The previous prime is 3542587902709. The next prime is 3542587902757. The reversal of 3542587902720 is 272097852453.

3542587902720 is a `hidden beast` number, since 3 + 54 + 2 + 587 + 9 + 0 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×3542587902720³ (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 an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 11175356002 + ... + 11175356318.

Almost surely, 2^{3542587902720} is an apocalyptic number.

3542587902720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542587902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041129338880).

3542587902720 is an abundant number, since it is smaller than the sum of its proper divisors (10539670775040).

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

3542587902720 is a wasteful number, since it uses less digits than its factorization.

3542587902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 3542587902720 in words is "three trillion, five hundred forty-two billion, five hundred eighty-seven million, nine hundred two thousand, seven hundred twenty".