3205071672 has 128 divisors (see below), whose sum is σ = 8883786240. Its totient is φ = 955514880.

The previous prime is 3205071671. The next prime is 3205071673. The reversal of 3205071672 is 2761705023.

It is an interprime number because it is at equal distance from previous prime (3205071671) and next prime (3205071673).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205071671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6581013 + ... + 6581499.

It is an arithmetic number, because the mean of its divisors is an integer number (69404580).

Almost surely, 2^3205071672 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 3205071672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441893120).

3205071672 is an abundant number, since it is smaller than the sum of its proper divisors (5678714568).

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

3205071672 is a wasteful number, since it uses less digits than its factorization.

3205071672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 3205071672 is about 56613.3524179588. The cubic root of 3205071672 is about 1474.3906968409.

Adding to 3205071672 its reverse (2761705023), we get a palindrome (5966776695).

The spelling of 3205071672 in words is "three billion, two hundred five million, seventy-one thousand, six hundred seventy-two".