3404521120 has 384 divisors, whose sum is σ = 11186864640. Its totient is φ = 944455680.

The previous prime is 3404521097. The next prime is 3404521121. The reversal of 3404521120 is 211254043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3404521091 and 3404521100.

It is not an unprimeable number, because it can be changed into a prime (3404521121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4644274 + ... + 4645006.

It is an arithmetic number, because the mean of its divisors is an integer number (29132460).

Almost surely, 2^3404521120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593432320).

3404521120 is an abundant number, since it is smaller than the sum of its proper divisors (7782343520).

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

3404521120 is a wasteful number, since it uses less digits than its factorization.

3404521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 3404521120 is about 58348.2743532317. The cubic root of 3404521120 is about 1504.3608092024.

Adding to 3404521120 its reverse (211254043), we get a palindrome (3615775163).

The spelling of 3404521120 in words is "three billion, four hundred four million, five hundred twenty-one thousand, one hundred twenty".