3274012672 has 192 divisors, whose sum is σ = 7925299200. Its totient is φ = 1322680320.

The previous prime is 3274012663. The next prime is 3274012727. The reversal of 3274012672 is 2762104723.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 23553979 + ... + 23554117.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^3274012672 is an apocalyptic number.

3274012672 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 3274012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

3274012672 is an abundant number, since it is smaller than the sum of its proper divisors (4651286528).

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

3274012672 is a wasteful number, since it uses less digits than its factorization.

3274012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 3274012672 is about 57218.9887362578. The cubic root of 3274012672 is about 1484.8871604601.

The spelling of 3274012672 in words is "three billion, two hundred seventy-four million, twelve thousand, six hundred seventy-two".