3401304100 has 72 divisors (see below), whose sum is σ = 7488973800. Its totient is φ = 1340697600.

The previous prime is 3401304089. The next prime is 3401304107. The reversal of 3401304100 is 14031043.

It can be written as a sum of positive squares in 12 ways, for example, as 1594884096 + 1806420004 = 39936^2 + 42502^2 .

It is not an unprimeable number, because it can be changed into a prime (3401304107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4102486 + ... + 4103314.

It is an arithmetic number, because the mean of its divisors is an integer number (104013525).

Almost surely, 2^3401304100 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 3401304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744486900).

3401304100 is an abundant number, since it is smaller than the sum of its proper divisors (4087669700).

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

3401304100 is a wasteful number, since it uses less digits than its factorization.

3401304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

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

The square root of 3401304100 is about 58320.7004416099. The cubic root of 3401304100 is about 1503.8868234070.

Adding to 3401304100 its reverse (14031043), we get a palindrome (3415335143).

The spelling of 3401304100 in words is "three billion, four hundred one million, three hundred four thousand, one hundred".