3340435670700 has 288 divisors, whose sum is σ = 9872255635200. Its totient is φ = 871907758080.

The previous prime is 3340435670681. The next prime is 3340435670701. The reversal of 3340435670700 is 70765340433.

It is a super-2 number, since 2×3340435670700² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3340435670701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2800029304 + ... + 2800030496.

It is an arithmetic number, because the mean of its divisors is an integer number (34278665400).

Almost surely, 2^{3340435670700} is an apocalyptic number.

3340435670700 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 3340435670700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936127817600).

3340435670700 is an abundant number, since it is smaller than the sum of its proper divisors (6531819964500).

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

3340435670700 is a wasteful number, since it uses less digits than its factorization.

3340435670700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 42.

The spelling of 3340435670700 in words is "three trillion, three hundred forty billion, four hundred thirty-five million, six hundred seventy thousand, seven hundred".