3330001312 has 72 divisors (see below), whose sum is σ = 7231512708. Its totient is φ = 1508305920.

The previous prime is 3330001273. The next prime is 3330001379. The reversal of 3330001312 is 2131000333.

3330001312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3317299216 + 12702096 = 57596^2 + 3564^2 .

It is a super-2 number, since 2×3330001312² = 22177817475843442688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1226068 + ... + 1228780.

Almost surely, 2^3330001312 is an apocalyptic number.

3330001312 is a gapful number since it is divisible by the number (32) 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 3330001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615756354).

3330001312 is an abundant number, since it is smaller than the sum of its proper divisors (3901511396).

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

3330001312 is a wasteful number, since it uses less digits than its factorization.

3330001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 3330001312 is about 57706.1635529516. The cubic root of 3330001312 is about 1493.3036783723.

Adding to 3330001312 its reverse (2131000333), we get a palindrome (5461001645).

The spelling of 3330001312 in words is "three billion, three hundred thirty million, one thousand, three hundred twelve".