3401201320 has 128 divisors (see below), whose sum is σ = 8721820800. Its totient is φ = 1182643200.

The previous prime is 3401201311. The next prime is 3401201341. The reversal of 3401201320 is 231021043.

It is a happy number.

3401201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3401201294 and 3401201303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958750 + ... + 962290.

It is an arithmetic number, because the mean of its divisors is an integer number (68139225).

Almost surely, 2^3401201320 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 3401201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360910400).

3401201320 is an abundant number, since it is smaller than the sum of its proper divisors (5320619480).

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

3401201320 is a wasteful number, since it uses less digits than its factorization.

3401201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3401201320 is about 58319.8192726967. The cubic root of 3401201320 is about 1503.8716751933.

Adding to 3401201320 its reverse (231021043), we get a palindrome (3632222363).

The spelling of 3401201320 in words is "three billion, four hundred one million, two hundred one thousand, three hundred twenty".