3208672500 has 480 divisors, whose sum is σ = 11336371200. Its totient is φ = 696960000.

The previous prime is 3208672487. The next prime is 3208672507. The reversal of 3208672500 is 52768023.

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 (3208672507) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 36052456 + ... + 36052544.

It is an arithmetic number, because the mean of its divisors is an integer number (23617440).

Almost surely, 2^3208672500 is an apocalyptic number.

3208672500 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 3208672500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668185600).

3208672500 is an abundant number, since it is smaller than the sum of its proper divisors (8127698700).

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

3208672500 is a wasteful number, since it uses less digits than its factorization.

3208672500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3208672500 is about 56645.1454230634. The cubic root of 3208672500 is about 1474.9426387729.

The spelling of 3208672500 in words is "three billion, two hundred eight million, six hundred seventy-two thousand, five hundred".