3546877159872 has 112 divisors (see below), whose sum is σ = 10555892832800. Its totient is φ = 1182292339968.

The previous prime is 3546877159849. The next prime is 3546877159879. The reversal of 3546877159872 is 2789517786453.

3546877159872 is a `hidden beast` number, since 3 + 5 + 468 + 7 + 7 + 1 + 5 + 98 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3546877159872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546877159879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12530347 + ... + 12810282.

It is an arithmetic number, because the mean of its divisors is an integer number (94249043150).

Almost surely, 2^{3546877159872} is an apocalyptic number.

3546877159872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3546877159872 is an abundant number, since it is smaller than the sum of its proper divisors (7009015672928).

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

3546877159872 is an frugal number, since it uses more digits than its factorization.

3546877159872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25340662 (or 25340634 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 3546877159872 in words is "three trillion, five hundred forty-six billion, eight hundred seventy-seven million, one hundred fifty-nine thousand, eight hundred seventy-two".