3334055044320 has 6912 divisors, whose sum is σ = 18486674841600. Its totient is φ = 551809843200.

The previous prime is 3334055044319. The next prime is 3334055044363. The reversal of 3334055044320 is 234405504333.

3334055044320 is a `hidden beast` number, since 3 + 3 + 3 + 40 + 550 + 4 + 43 + 20 = 666.

It is a super-2 number, since 2×3334055044320² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 107550162705 + ... + 107550162735.

It is an arithmetic number, because the mean of its divisors is an integer number (2674576800).

Almost surely, 2^{3334055044320} is an apocalyptic number.

3334055044320 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 3334055044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243337420800).

3334055044320 is an abundant number, since it is smaller than the sum of its proper divisors (15152619797280).

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

3334055044320 is a wasteful number, since it uses less digits than its factorization.

3334055044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

The spelling of 3334055044320 in words is "three trillion, three hundred thirty-four billion, fifty-five million, forty-four thousand, three hundred twenty".