3413606736 has 80 divisors (see below), whose sum is σ = 8944052544. Its totient is φ = 1121728512.

The previous prime is 3413606731. The next prime is 3413606759. The reversal of 3413606736 is 6376063143.

It is a super-3 number, since 3×3413606736³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3413606694 and 3413606703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413606731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3493480 + ... + 3494456.

Almost surely, 2^3413606736 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 3413606736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472026272).

3413606736 is an abundant number, since it is smaller than the sum of its proper divisors (5530445808).

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

3413606736 is a wasteful number, since it uses less digits than its factorization.

3413606736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 3413606736 is about 58426.0792454876. The cubic root of 3413606736 is about 1505.6978454113.

Adding to 3413606736 its reverse (6376063143), we get a palindrome (9789669879).

The spelling of 3413606736 in words is "three billion, four hundred thirteen million, six hundred six thousand, seven hundred thirty-six".