3401204440 has 64 divisors (see below), whose sum is σ = 8068896000. Its totient is φ = 1286732160.

The previous prime is 3401204437. The next prime is 3401204449. The reversal of 3401204440 is 444021043.

It is a super-3 number, since 3×3401204440³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401204449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497445 + ... + 504235.

It is an arithmetic number, because the mean of its divisors is an integer number (126076500).

Almost surely, 2^3401204440 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 3401204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034448000).

3401204440 is an abundant number, since it is smaller than the sum of its proper divisors (4667691560).

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

3401204440 is a wasteful number, since it uses less digits than its factorization.

3401204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7480 (or 7476 counting only the distinct ones).

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

The square root of 3401204440 is about 58319.8460217446. The cubic root of 3401204440 is about 1503.8721350384.

Adding to 3401204440 its reverse (444021043), we get a palindrome (3845225483).

The spelling of 3401204440 in words is "three billion, four hundred one million, two hundred four thousand, four hundred forty".