3200852480 has 480 divisors, whose sum is σ = 10076140800. Its totient is φ = 966131712.

The previous prime is 3200852437. The next prime is 3200852489. The reversal of 3200852480 is 842580023.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3200852489) 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, 40517081 + ... + 40517159.

It is an arithmetic number, because the mean of its divisors is an integer number (20991960).

Almost surely, 2^3200852480 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 3200852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038070400).

3200852480 is an abundant number, since it is smaller than the sum of its proper divisors (6875288320).

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

3200852480 is a wasteful number, since it uses less digits than its factorization.

3200852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 3200852480 is about 56576.0769230246. The cubic root of 3200852480 is about 1473.7434446366.

The spelling of 3200852480 in words is "three billion, two hundred million, eight hundred fifty-two thousand, four hundred eighty".