3253029120 has 576 divisors, whose sum is σ = 12950784000. Its totient is φ = 766402560.

The previous prime is 3253029119. The next prime is 3253029149. The reversal of 3253029120 is 219203523.

3253029120 is a `hidden beast` number, since 3 + 2 + 530 + 2 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16346781 + ... + 16346979.

It is an arithmetic number, because the mean of its divisors is an integer number (22484000).

Almost surely, 2^3253029120 is an apocalyptic number.

3253029120 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 3253029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475392000).

3253029120 is an abundant number, since it is smaller than the sum of its proper divisors (9697754880).

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

3253029120 is a wasteful number, since it uses less digits than its factorization.

3253029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3253029120 is about 57035.3322073257. The cubic root of 3253029120 is about 1481.7080839255.

The spelling of 3253029120 in words is "three billion, two hundred fifty-three million, twenty-nine thousand, one hundred twenty".