3546518763060 has 720 divisors, whose sum is σ = 13995861175296. Its totient is φ = 748223578368.

The previous prime is 3546518763037. The next prime is 3546518763119. The reversal of 3546518763060 is 603678156453.

3546518763060 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 518 + 7 + 63 + 0 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3546518762988 and 3546518763006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 250754349 + ... + 250768491.

Almost surely, 2^{3546518763060} is an apocalyptic number.

3546518763060 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 3546518763060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997930587648).

3546518763060 is an abundant number, since it is smaller than the sum of its proper divisors (10449342412236).

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

3546518763060 is a wasteful number, since it uses less digits than its factorization.

3546518763060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14206 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3546518763060 in words is "three trillion, five hundred forty-six billion, five hundred eighteen million, seven hundred sixty-three thousand, sixty".