3208565340 has 144 divisors (see below), whose sum is σ = 10266066720. Its totient is φ = 808911360.

The previous prime is 3208565303. The next prime is 3208565341. The reversal of 3208565340 is 435658023.

It is a happy number.

It is a super-4 number, since 4×3208565340⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3208565295 and 3208565304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3208565341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217722 + ... + 3218718.

It is an arithmetic number, because the mean of its divisors is an integer number (71292130).

Almost surely, 2^3208565340 is an apocalyptic number.

3208565340 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 3208565340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133033360).

3208565340 is an abundant number, since it is smaller than the sum of its proper divisors (7057501380).

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

3208565340 is a wasteful number, since it uses less digits than its factorization.

3208565340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3208565340 is about 56644.1995265182. The cubic root of 3208565340 is about 1474.9262190424.

The spelling of 3208565340 in words is "three billion, two hundred eight million, five hundred sixty-five thousand, three hundred forty".