3401122560 has 288 divisors, whose sum is σ = 12023036928. Its totient is φ = 812482560.

The previous prime is 3401122513. The next prime is 3401122567. The reversal of 3401122560 is 652211043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3401122560.

It is not an unprimeable number, because it can be changed into a prime (3401122567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082969 + ... + 3084071.

It is an arithmetic number, because the mean of its divisors is an integer number (41746656).

Almost surely, 2^3401122560 is an apocalyptic number.

3401122560 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 3401122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011518464).

3401122560 is an abundant number, since it is smaller than the sum of its proper divisors (8621914368).

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

3401122560 is a wasteful number, since it uses less digits than its factorization.

3401122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3401122560 is about 58319.1440266402. The cubic root of 3401122560 is about 1503.8600669568.

The spelling of 3401122560 in words is "three billion, four hundred one million, one hundred twenty-two thousand, five hundred sixty".