3413206620 has 192 divisors, whose sum is σ = 11632118400. Its totient is φ = 827043840.

The previous prime is 3413206619. The next prime is 3413206639. The reversal of 3413206620 is 266023143.

3413206620 is a `hidden beast` number, since 3 + 4 + 1 + 32 + 0 + 6 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259810 + ... + 272630.

It is an arithmetic number, because the mean of its divisors is an integer number (60583950).

Almost surely, 2^3413206620 is an apocalyptic number.

3413206620 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 3413206620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816059200).

3413206620 is an abundant number, since it is smaller than the sum of its proper divisors (8218911780).

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

3413206620 is a wasteful number, since it uses less digits than its factorization.

3413206620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12885 (or 12877 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3413206620 is about 58422.6550235437. The cubic root of 3413206620 is about 1505.6390144460.

Adding to 3413206620 its reverse (266023143), we get a palindrome (3679229763).

The spelling of 3413206620 in words is "three billion, four hundred thirteen million, two hundred six thousand, six hundred twenty".