3404954880 has 504 divisors, whose sum is σ = 12667301640. Its totient is φ = 875888640.

The previous prime is 3404954867. The next prime is 3404954887. The reversal of 3404954880 is 884594043.

It is a happy number.

3404954880 is a `hidden beast` number, since 3 + 40 + 495 + 48 + 80 = 666.

3404954880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 3351020544 = 7344^2 + 57888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404954887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38257876 + ... + 38257964.

It is an arithmetic number, because the mean of its divisors is an integer number (25133535).

Almost surely, 2^3404954880 is an apocalyptic number.

3404954880 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 3404954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333650820).

3404954880 is an abundant number, since it is smaller than the sum of its proper divisors (9262346760).

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

3404954880 is an frugal number, since it uses more digits than its factorization.

3404954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3404954880 is about 58351.9912256643. The cubic root of 3404954880 is about 1504.4246952146.

The spelling of 3404954880 in words is "three billion, four hundred four million, nine hundred fifty-four thousand, eight hundred eighty".