3310225920 has 320 divisors, whose sum is σ = 11920487040. Its totient is φ = 870580224.

The previous prime is 3310225913. The next prime is 3310225969. The reversal of 3310225920 is 295220133.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5736672 + ... + 5737248.

It is an arithmetic number, because the mean of its divisors is an integer number (37251522).

Almost surely, 2^3310225920 is an apocalyptic number.

3310225920 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 3310225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960243520).

3310225920 is an abundant number, since it is smaller than the sum of its proper divisors (8610261120).

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

3310225920 is an equidigital number, since it uses as much as digits as its factorization.

3310225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 670 counting only the distinct ones).

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

The square root of 3310225920 is about 57534.5628296592. The cubic root of 3310225920 is about 1490.3417860734.

The spelling of 3310225920 in words is "three billion, three hundred ten million, two hundred twenty-five thousand, nine hundred twenty".