3334109908640 has 144 divisors (see below), whose sum is σ = 9173608790472. Its totient is φ = 1141780985856.

The previous prime is 3334109908637. The next prime is 3334109908643. The reversal of 3334109908640 is 468099014333.

It is an interprime number because it is at equal distance from previous prime (3334109908637) and next prime (3334109908643).

It can be written as a sum of positive squares in 4 ways, for example, as 2925016631824 + 409093276816 = 1710268^2 + 639604^2 .

It is a super-2 number, since 2×3334109908640² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3334109908643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6438242 + ... + 6936798.

Almost surely, 2^{3334109908640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334109908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586804395236).

3334109908640 is an abundant number, since it is smaller than the sum of its proper divisors (5839498881832).

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

3334109908640 is a wasteful number, since it uses less digits than its factorization.

3334109908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499439 (or 499424 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 3334109908640 in words is "three trillion, three hundred thirty-four billion, one hundred nine million, nine hundred eight thousand, six hundred forty".