3352413120 has 448 divisors, whose sum is σ = 12712842240. Its totient is φ = 732561408.

The previous prime is 3352413101. The next prime is 3352413121. The reversal of 3352413120 is 213142533.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3352413120² = 22477347454296268800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352413121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24118011 + ... + 24118149.

It is an arithmetic number, because the mean of its divisors is an integer number (28376880).

Almost surely, 2^3352413120 is an apocalyptic number.

3352413120 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 3352413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356421120).

3352413120 is an abundant number, since it is smaller than the sum of its proper divisors (9360429120).

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

3352413120 is a wasteful number, since it uses less digits than its factorization.

3352413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

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

The square root of 3352413120 is about 57900.0269429989. The cubic root of 3352413120 is about 1496.6463029545.

Adding to 3352413120 its reverse (213142533), we get a palindrome (3565555653).

It can be divided in two parts, 3352413 and 120, that added together give a palindrome (3352533).

The spelling of 3352413120 in words is "three billion, three hundred fifty-two million, four hundred thirteen thousand, one hundred twenty".