3483668848 has 80 divisors (see below), whose sum is σ = 8018236800. Its totient is φ = 1448375040.

The previous prime is 3483668831. The next prime is 3483668857. The reversal of 3483668848 is 8488663843.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 3483668792 and 3483668801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79015 + ... + 114937.

It is an arithmetic number, because the mean of its divisors is an integer number (100227960).

Almost surely, 2^3483668848 is an apocalyptic number.

3483668848 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 3483668848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009118400).

3483668848 is an abundant number, since it is smaller than the sum of its proper divisors (4534567952).

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

3483668848 is a wasteful number, since it uses less digits than its factorization.

3483668848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35990 (or 35984 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 58.

The square root of 3483668848 is about 59022.6130224679. The cubic root of 3483668848 is about 1515.9293274676.

It can be divided in two parts, 34836 and 68848, that added together give a square (103684 = 322²).

The spelling of 3483668848 in words is "three billion, four hundred eighty-three million, six hundred sixty-eight thousand, eight hundred forty-eight".