3484462080 has 352 divisors, whose sum is σ = 12479298048. Its totient is φ = 822476800.

The previous prime is 3484461997. The next prime is 3484462081. The reversal of 3484462080 is 802644843.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484462081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6927109 + ... + 6927611.

Almost surely, 2^3484462080 is an apocalyptic number.

3484462080 is a gapful number since it is divisible by the number (30) 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 3484462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239649024).

3484462080 is an abundant number, since it is smaller than the sum of its proper divisors (8994835968).

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

3484462080 is a wasteful number, since it uses less digits than its factorization.

3484462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 3484462080 is about 59029.3323695940. The cubic root of 3484462080 is about 1516.0443778591.

It can be divided in two parts, 3484 and 462080, that added together give a palindrome (465564).

The spelling of 3484462080 in words is "three billion, four hundred eighty-four million, four hundred sixty-two thousand, eighty".