3406213536 has 192 divisors, whose sum is σ = 10225668096. Its totient is φ = 983347200.

The previous prime is 3406213523. The next prime is 3406213541. The reversal of 3406213536 is 6353126043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3406213497 and 3406213506.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2192536 + ... + 2194088.

It is an arithmetic number, because the mean of its divisors is an integer number (53258688).

Almost surely, 2^3406213536 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 3406213536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5112834048).

3406213536 is an abundant number, since it is smaller than the sum of its proper divisors (6819454560).

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

3406213536 is a wasteful number, since it uses less digits than its factorization.

3406213536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 3406213536 is about 58362.7752595779. The cubic root of 3406213536 is about 1504.6100446993.

Adding to 3406213536 its reverse (6353126043), we get a palindrome (9759339579).

The spelling of 3406213536 in words is "three billion, four hundred six million, two hundred thirteen thousand, five hundred thirty-six".