3335276672 has 128 divisors (see below), whose sum is σ = 8214998400. Its totient is φ = 1313464320.

The previous prime is 3335276671. The next prime is 3335276677. The reversal of 3335276672 is 2766725333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3335276672² = 22248140957574791168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3335276671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3272579 + ... + 3273597.

It is an arithmetic number, because the mean of its divisors is an integer number (64179675).

Almost surely, 2^3335276672 is an apocalyptic number.

3335276672 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 3335276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107499200).

3335276672 is an abundant number, since it is smaller than the sum of its proper divisors (4879721728).

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

3335276672 is a wasteful number, since it uses less digits than its factorization.

3335276672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1322 counting only the distinct ones).

The product of its digits is 952560, while the sum is 44.

The square root of 3335276672 is about 57751.8542732612. The cubic root of 3335276672 is about 1494.0918220271.

The spelling of 3335276672 in words is "three billion, three hundred thirty-five million, two hundred seventy-six thousand, six hundred seventy-two".