3452133120 has 144 divisors (see below), whose sum is σ = 11048637600. Its totient is φ = 918618112.

The previous prime is 3452133119. The next prime is 3452133133. The reversal of 3452133120 is 213312543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3290356 + ... + 3291404.

It is an arithmetic number, because the mean of its divisors is an integer number (76726650).

Almost surely, 2^3452133120 is an apocalyptic number.

3452133120 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 3452133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524318800).

3452133120 is an abundant number, since it is smaller than the sum of its proper divisors (7596504480).

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

3452133120 is a wasteful number, since it uses less digits than its factorization.

3452133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3452133120 is about 58754.8561397269. The cubic root of 3452133120 is about 1511.3411647695.

Adding to 3452133120 its reverse (213312543), we get a palindrome (3665445663).

The spelling of 3452133120 in words is "three billion, four hundred fifty-two million, one hundred thirty-three thousand, one hundred twenty".