3477645115648 has 144 divisors (see below), whose sum is σ = 8022330771840. Its totient is φ = 1487001190400.

The previous prime is 3477645115621. The next prime is 3477645115667. The reversal of 3477645115648 is 8465115467743.

It is a super-3 number, since 3×3477645115648³ (a number of 39 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 99029613 + ... + 99064723.

It is an arithmetic number, because the mean of its divisors is an integer number (55710630360).

Almost surely, 2^{3477645115648} 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 3477645115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011165385920).

3477645115648 is an abundant number, since it is smaller than the sum of its proper divisors (4544685656192).

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

3477645115648 is a wasteful number, since it uses less digits than its factorization.

3477645115648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37224 (or 37210 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 61.

The spelling of 3477645115648 in words is "three trillion, four hundred seventy-seven billion, six hundred forty-five million, one hundred fifteen thousand, six hundred forty-eight".