3245658240 has 256 divisors, whose sum is σ = 11350886400. Its totient is φ = 782315520.

The previous prime is 3245658239. The next prime is 3245658253. The reversal of 3245658240 is 428565423.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 5047359 + ... + 5048001.

It is an arithmetic number, because the mean of its divisors is an integer number (44339400).

Almost surely, 2^3245658240 is an apocalyptic number.

3245658240 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 3245658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675443200).

3245658240 is an abundant number, since it is smaller than the sum of its proper divisors (8105228160).

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

3245658240 is a wasteful number, since it uses less digits than its factorization.

3245658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 3245658240 is about 56970.6787742607. The cubic root of 3245658240 is about 1480.5881275911.

The spelling of 3245658240 in words is "three billion, two hundred forty-five million, six hundred fifty-eight thousand, two hundred forty".