3404001024 has 180 divisors, whose sum is σ = 10231793880. Its totient is φ = 1125550080.

The previous prime is 3404001017. The next prime is 3404001037. The reversal of 3404001024 is 4201004043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3404000988 and 3404001006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2881714 + ... + 2882894.

Almost surely, 2^3404001024 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 3404001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115896940).

3404001024 is an abundant number, since it is smaller than the sum of its proper divisors (6827792856).

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

3404001024 is a wasteful number, since it uses less digits than its factorization.

3404001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3404001024 is about 58343.8173588256. The cubic root of 3404001024 is about 1504.2842001035.

Adding to 3404001024 its reverse (4201004043), we get a palindrome (7605005067).

The spelling of 3404001024 in words is "three billion, four hundred four million, one thousand, twenty-four".