3338225664 has 96 divisors (see below), whose sum is σ = 9051588000. Its totient is φ = 1093763072.

The previous prime is 3338225663. The next prime is 3338225677. The reversal of 3338225664 is 4665228333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3338225664² = 22287501167576481792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3338225663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357892 + ... + 367100.

It is an arithmetic number, because the mean of its divisors is an integer number (94287375).

Almost surely, 2^3338225664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525794000).

3338225664 is an abundant number, since it is smaller than the sum of its proper divisors (5713362336).

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

3338225664 is an equidigital number, since it uses as much as digits as its factorization.

3338225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9293 (or 9273 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The square root of 3338225664 is about 57777.3802105980. The cubic root of 3338225664 is about 1494.5320420661.

The spelling of 3338225664 in words is "three billion, three hundred thirty-eight million, two hundred twenty-five thousand, six hundred sixty-four".