3334320138240 has 2592 divisors, whose sum is σ = 15472719957240. Its totient is φ = 659545915392.

The previous prime is 3334320138209. The next prime is 3334320138251. The reversal of 3334320138240 is 428310234333.

3334320138240 is a `hidden beast` number, since 3 + 3 + 34 + 3 + 201 + 382 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 527703450624 + 2806616687616 = 726432^2 + 1675296^2 .

It is a super-2 number, since 2×3334320138240² (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 junction number, because it is equal to n+sod(n) for n = 3334320138195 and 3334320138204.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12974008192 + ... + 12974008448.

Almost surely, 2^{3334320138240} is an apocalyptic number.

3334320138240 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 3334320138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736359978620).

3334320138240 is an abundant number, since it is smaller than the sum of its proper divisors (12138399819000).

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

3334320138240 is a wasteful number, since it uses less digits than its factorization.

3334320138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 3334320138240 in words is "three trillion, three hundred thirty-four billion, three hundred twenty million, one hundred thirty-eight thousand, two hundred forty".