3341209400208 has 400 divisors, whose sum is σ = 10301566412016. Its totient is φ = 1041869537280.

The previous prime is 3341209400201. The next prime is 3341209400219. The reversal of 3341209400208 is 8020049021433.

3341209400208 is a `hidden beast` number, since 3 + 3 + 41 + 2 + 0 + 9 + 400 + 208 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 239285332224 + 3101924067984 = 489168^2 + 1761228^2 .

It is a super-2 number, since 2×3341209400208² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3341209400201) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4558266210 + ... + 4558266942.

Almost surely, 2^{3341209400208} 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 3341209400208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150783206008).

3341209400208 is an abundant number, since it is smaller than the sum of its proper divisors (6960357011808).

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

3341209400208 is a wasteful number, since it uses less digits than its factorization.

3341209400208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3341209400208 in words is "three trillion, three hundred forty-one billion, two hundred nine million, four hundred thousand, two hundred eight".