3334780672 has 72 divisors (see below), whose sum is σ = 6973261344. Its totient is φ = 1588629504.

The previous prime is 3334780667. The next prime is 3334780699. The reversal of 3334780672 is 2760874333.

It is a super-2 number, since 2×3334780672² = 22241524260689543168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1724218 + ... + 1726150.

It is an arithmetic number, because the mean of its divisors is an integer number (96850852).

Almost surely, 2^3334780672 is an apocalyptic number.

3334780672 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 3334780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486630672).

3334780672 is an abundant number, since it is smaller than the sum of its proper divisors (3638480672).

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

3334780672 is a wasteful number, since it uses less digits than its factorization.

3334780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The square root of 3334780672 is about 57747.5598791845. The cubic root of 3334780672 is about 1494.0177545803.

The spelling of 3334780672 in words is "three billion, three hundred thirty-four million, seven hundred eighty thousand, six hundred seventy-two".