3404496480 has 288 divisors, whose sum is σ = 13610177280. Its totient is φ = 707374080.

The previous prime is 3404496479. The next prime is 3404496523. The reversal of 3404496480 is 846944043.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 252141 + ... + 265299.

It is an arithmetic number, because the mean of its divisors is an integer number (47257560).

Almost surely, 2^3404496480 is an apocalyptic number.

3404496480 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 3404496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805088640).

3404496480 is an abundant number, since it is smaller than the sum of its proper divisors (10205680800).

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

3404496480 is a wasteful number, since it uses less digits than its factorization.

3404496480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13202 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3404496480 is about 58348.0632069309. The cubic root of 3404496480 is about 1504.3571799558.

The spelling of 3404496480 in words is "three billion, four hundred four million, four hundred ninety-six thousand, four hundred eighty".