3208872000 has 448 divisors, whose sum is σ = 11563868160. Its totient is φ = 781056000.

The previous prime is 3208871983. The next prime is 3208872013. The reversal of 3208872000 is 2788023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14135887 + ... + 14136113.

Almost surely, 2^3208872000 is an apocalyptic number.

3208872000 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 3208872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781934080).

3208872000 is an abundant number, since it is smaller than the sum of its proper divisors (8354996160).

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

3208872000 is a wasteful number, since it uses less digits than its factorization.

3208872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3208872000 is about 56646.9063586000. The cubic root of 3208872000 is about 1474.9732064462.

The spelling of 3208872000 in words is "three billion, two hundred eight million, eight hundred seventy-two thousand".