3546986541952 has 192 divisors, whose sum is σ = 8656133202000. Its totient is φ = 1439536250880.

The previous prime is 3546986541881. The next prime is 3546986541977. The reversal of 3546986541952 is 2591456896453.

It is a super-2 number, since 2×3546986541952² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 396705802 + ... + 396714742.

Almost surely, 2^{3546986541952} is an apocalyptic number.

3546986541952 is a gapful number since it is divisible by the number (32) 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 3546986541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328066601000).

3546986541952 is an abundant number, since it is smaller than the sum of its proper divisors (5109146660048).

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

3546986541952 is a wasteful number, since it uses less digits than its factorization.

3546986541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317 (or 12298 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 67.

The spelling of 3546986541952 in words is "three trillion, five hundred forty-six billion, nine hundred eighty-six million, five hundred forty-one thousand, nine hundred fifty-two".