3401024440 has 128 divisors (see below), whose sum is σ = 8500101120. Its totient is φ = 1224558720.

The previous prime is 3401024399. The next prime is 3401024441. The reversal of 3401024440 is 444201043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401024441) 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 31 ways as a sum of consecutive naturals, for example, 6761229 + ... + 6761731.

It is an arithmetic number, because the mean of its divisors is an integer number (66407040).

Almost surely, 2^3401024440 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 3401024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250050560).

3401024440 is an abundant number, since it is smaller than the sum of its proper divisors (5099076680).

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

3401024440 is a wasteful number, since it uses less digits than its factorization.

3401024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3401024440 is about 58318.3027873754. The cubic root of 3401024440 is about 1503.8456050484.

Adding to 3401024440 its reverse (444201043), we get a palindrome (3845225483).

The spelling of 3401024440 in words is "three billion, four hundred one million, twenty-four thousand, four hundred forty".