3253812240 has 320 divisors, whose sum is σ = 12419205120. Its totient is φ = 687759360.

The previous prime is 3253812239. The next prime is 3253812251. The reversal of 3253812240 is 422183523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3253812198 and 3253812207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684075 + ... + 1686005.

It is an arithmetic number, because the mean of its divisors is an integer number (38810016).

Almost surely, 2^3253812240 is an apocalyptic number.

3253812240 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 3253812240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209602560).

3253812240 is an abundant number, since it is smaller than the sum of its proper divisors (9165392880).

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

3253812240 is a wasteful number, since it uses less digits than its factorization.

3253812240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3253812240 is about 57042.1970123872. The cubic root of 3253812240 is about 1481.8269743598.

Adding to 3253812240 its reverse (422183523), we get a palindrome (3675995763).

The spelling of 3253812240 in words is "three billion, two hundred fifty-three million, eight hundred twelve thousand, two hundred forty".