3404460480 has 112 divisors (see below), whose sum is σ = 10992551040. Its totient is φ = 892453888.

The previous prime is 3404460473. The next prime is 3404460509. The reversal of 3404460480 is 840644043.

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, 26587 + ... + 86693.

Almost surely, 2^3404460480 is an apocalyptic number.

3404460480 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 3404460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496275520).

3404460480 is an abundant number, since it is smaller than the sum of its proper divisors (7588090560).

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

3404460480 is a wasteful number, since it uses less digits than its factorization.

3404460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60186 (or 60176 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 3404460480 is about 58347.7547125851. The cubic root of 3404460480 is about 1504.3518774537.

The spelling of 3404460480 in words is "three billion, four hundred four million, four hundred sixty thousand, four hundred eighty".