3409411461120 has 2912 divisors, whose sum is σ = 15779781953280. Its totient is φ = 687970713600.

The previous prime is 3409411461109. The next prime is 3409411461121. The reversal of 3409411461120 is 211641149043.

3409411461120 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 4 + 1 + 14 + 611 + 20 = 666.

It is a super-2 number, since 2×3409411461120² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409411461121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 33756549070 + ... + 33756549170.

Almost surely, 2^{3409411461120} is an apocalyptic number.

3409411461120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409411461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889890976640).

3409411461120 is an abundant number, since it is smaller than the sum of its proper divisors (12370370492160).

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

3409411461120 is a wasteful number, since it uses less digits than its factorization.

3409411461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3409411461120 in words is "three trillion, four hundred nine billion, four hundred eleven million, four hundred sixty-one thousand, one hundred twenty".