3477851344 has 80 divisors (see below), whose sum is σ = 7688972160. Its totient is φ = 1508474880.

The previous prime is 3477851317. The next prime is 3477851353. The reversal of 3477851344 is 4431587743.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 3477851294 and 3477851303.

It is a congruent number.

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, 2334952 + ... + 2336440.

It is an arithmetic number, because the mean of its divisors is an integer number (96112152).

Almost surely, 2^3477851344 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 3477851344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844486080).

3477851344 is an abundant number, since it is smaller than the sum of its proper divisors (4211120816).

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

3477851344 is a wasteful number, since it uses less digits than its factorization.

3477851344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 46.

The square root of 3477851344 is about 58973.3104378582. The cubic root of 3477851344 is about 1515.0850223318.

The spelling of 3477851344 in words is "three billion, four hundred seventy-seven million, eight hundred fifty-one thousand, three hundred forty-four".