3213432120 has 64 divisors (see below), whose sum is σ = 10059448320. Its totient is φ = 819657344.

The previous prime is 3213432107. The next prime is 3213432127. The reversal of 3213432120 is 212343123.

3213432120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3213432120² = 20652291979695388800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213432127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579384 + ... + 584903.

It is an arithmetic number, because the mean of its divisors is an integer number (157178880).

Almost surely, 2^3213432120 is an apocalyptic number.

3213432120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3213432120 is an abundant number, since it is smaller than the sum of its proper divisors (6846016200).

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

3213432120 is a wasteful number, since it uses less digits than its factorization.

3213432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164324 (or 1164320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3213432120 is about 56687.1424575274. The cubic root of 3213432120 is about 1475.6715693189.

Adding to 3213432120 its reverse (212343123), we get a palindrome (3425775243).

The spelling of 3213432120 in words is "three billion, two hundred thirteen million, four hundred thirty-two thousand, one hundred twenty".