3346180815672 has 192 divisors, whose sum is σ = 9631384963200. Its totient is φ = 1047688992000.

The previous prime is 3346180815647. The next prime is 3346180815697. The reversal of 3346180815672 is 2765180816433.

3346180815672 is a `hidden beast` number, since 3 + 3 + 4 + 618 + 0 + 8 + 15 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3346180815647) and next prime (3346180815697).

It is a super-3 number, since 3×3346180815672³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 22461543 + ... + 22610025.

It is an arithmetic number, because the mean of its divisors is an integer number (50163463350).

Almost surely, 2^{3346180815672} 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 3346180815672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815692481600).

3346180815672 is an abundant number, since it is smaller than the sum of its proper divisors (6285204147528).

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

3346180815672 is a wasteful number, since it uses less digits than its factorization.

3346180815672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148818 (or 148811 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3346180815672 in words is "three trillion, three hundred forty-six billion, one hundred eighty million, eight hundred fifteen thousand, six hundred seventy-two".