3225245040 has 200 divisors, whose sum is σ = 11414323008. Its totient is φ = 843747840.

The previous prime is 3225245029. The next prime is 3225245069. The reversal of 3225245040 is 405425223.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3225244995 and 3225245013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 338745 + ... + 348135.

Almost surely, 2^3225245040 is an apocalyptic number.

3225245040 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 3225245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707161504).

3225245040 is an abundant number, since it is smaller than the sum of its proper divisors (8189077968).

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

3225245040 is a wasteful number, since it uses less digits than its factorization.

3225245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9454 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3225245040 is about 56791.2408739235. The cubic root of 3225245040 is about 1477.4776002170.

The spelling of 3225245040 in words is "three billion, two hundred twenty-five million, two hundred forty-five thousand, forty".