3484083456 has 432 divisors, whose sum is σ = 12228679680. Its totient is φ = 987614208.

The previous prime is 3484083451. The next prime is 3484083457. The reversal of 3484083456 is 6543804843.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484083451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27433665 + ... + 27433791.

Almost surely, 2^3484083456 is an apocalyptic number.

3484083456 is a gapful number since it is divisible by the number (36) 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 3484083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114339840).

3484083456 is an abundant number, since it is smaller than the sum of its proper divisors (8744596224).

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

3484083456 is an frugal number, since it uses more digits than its factorization.

3484083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3484083456 is about 59026.1251989320. The cubic root of 3484083456 is about 1515.9894644019.

It can be divided in two parts, 348 and 4083456, that added together give a palindrome (4083804).

The spelling of 3484083456 in words is "three billion, four hundred eighty-four million, eighty-three thousand, four hundred fifty-six".