3201432520 has 384 divisors, whose sum is σ = 9375095520. Its totient is φ = 973209600.

The previous prime is 3201432499. The next prime is 3201432539. The reversal of 3201432520 is 252341023.

It can be written as a sum of positive squares in 16 ways, for example, as 2172676 + 3199259844 = 1474^2 + 56562^2 .

It is a super-2 number, since 2×3201432520² = 20498340360227100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3201432491 and 3201432500.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43855204 + ... + 43855276.

Almost surely, 2^3201432520 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 3201432520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687547760).

3201432520 is an abundant number, since it is smaller than the sum of its proper divisors (6173663000).

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

3201432520 is a wasteful number, since it uses less digits than its factorization.

3201432520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3201432520 is about 56581.2028857641. The cubic root of 3201432520 is about 1473.8324603517.

Adding to 3201432520 its reverse (252341023), we get a palindrome (3453773543).

The spelling of 3201432520 in words is "three billion, two hundred one million, four hundred thirty-two thousand, five hundred twenty".