3401256516 has 96 divisors (see below), whose sum is σ = 9312264192. Its totient is φ = 945941760.

The previous prime is 3401256511. The next prime is 3401256533. The reversal of 3401256516 is 6156521043.

It is not an unprimeable number, because it can be changed into a prime (3401256511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089695 + ... + 2091321.

It is an arithmetic number, because the mean of its divisors is an integer number (97002752).

Almost surely, 2^3401256516 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 3401256516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656132096).

3401256516 is an abundant number, since it is smaller than the sum of its proper divisors (5911007676).

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

3401256516 is a wasteful number, since it uses less digits than its factorization.

3401256516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3401256516 is about 58320.2924889785. The cubic root of 3401256516 is about 1503.8798102848.

Adding to 3401256516 its reverse (6156521043), we get a palindrome (9557777559).

The spelling of 3401256516 in words is "three billion, four hundred one million, two hundred fifty-six thousand, five hundred sixteen".