3349224720 has 80 divisors (see below), whose sum is σ = 11536225920. Its totient is φ = 893126016.

The previous prime is 3349224701. The next prime is 3349224727. The reversal of 3349224720 is 274229433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3349224720³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3349224727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 773124 + ... + 777443.

It is an arithmetic number, because the mean of its divisors is an integer number (144202824).

Almost surely, 2^3349224720 is an apocalyptic number.

3349224720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3349224720 is an abundant number, since it is smaller than the sum of its proper divisors (8187001200).

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

3349224720 is a wasteful number, since it uses less digits than its factorization.

3349224720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550589 (or 1550577 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3349224720 is about 57872.4867272869. The cubic root of 3349224720 is about 1496.1716776108.

The spelling of 3349224720 in words is "three billion, three hundred forty-nine million, two hundred twenty-four thousand, seven hundred twenty".