3334072320 has 384 divisors, whose sum is σ = 12265344000. Its totient is φ = 858193920.

The previous prime is 3334072297. The next prime is 3334072333. The reversal of 3334072320 is 232704333.

It is a happy number.

3334072320 is a `hidden beast` number, since 3 + 334 + 0 + 7 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3334072320² = 22232076469980364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 8570686 + ... + 8571074.

It is an arithmetic number, because the mean of its divisors is an integer number (31941000).

Almost surely, 2^3334072320 is an apocalyptic number.

3334072320 is a gapful number since it is divisible by the number (30) 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 3334072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

3334072320 is an abundant number, since it is smaller than the sum of its proper divisors (8931271680).

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

3334072320 is a wasteful number, since it uses less digits than its factorization.

3334072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3334072320 is about 57741.4263765626. The cubic root of 3334072320 is about 1493.9119639742.

Adding to 3334072320 its reverse (232704333), we get a palindrome (3566776653).

The spelling of 3334072320 in words is "three billion, three hundred thirty-four million, seventy-two thousand, three hundred twenty".