3477153643348 has 144 divisors (see below), whose sum is σ = 8281782532800. Its totient is φ = 1259216824320.

The previous prime is 3477153643309. The next prime is 3477153643351. The reversal of 3477153643348 is 8433463517743.

3477153643348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3477153643292 and 3477153643301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370308 + ... + 2971876.

It is an arithmetic number, because the mean of its divisors is an integer number (57512378700).

Almost surely, 2^{3477153643348} is an apocalyptic number.

3477153643348 is a gapful number since it is divisible by the number (38) 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 3477153643348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140891266400).

3477153643348 is an abundant number, since it is smaller than the sum of its proper divisors (4804628889452).

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

3477153643348 is a wasteful number, since it uses less digits than its factorization.

3477153643348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601670 (or 1601661 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 58.

The spelling of 3477153643348 in words is "three trillion, four hundred seventy-seven billion, one hundred fifty-three million, six hundred forty-three thousand, three hundred forty-eight".