3434665104036 has 96 divisors (see below), whose sum is σ = 9134500636800. Its totient is φ = 1115473766400.

The previous prime is 3434665104029. The next prime is 3434665104041. The reversal of 3434665104036 is 6304015664343.

3434665104036 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 66 + 510 + 40 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3434665103982 and 3434665104000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940060 + ... + 2784428.

It is an arithmetic number, because the mean of its divisors is an integer number (95151048300).

Almost surely, 2^{3434665104036} is an apocalyptic number.

3434665104036 is a gapful number since it is divisible by the number (36) 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 3434665104036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567250318400).

3434665104036 is an abundant number, since it is smaller than the sum of its proper divisors (5699835532764).

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

3434665104036 is a wasteful number, since it uses less digits than its factorization.

3434665104036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844826 (or 1844818 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3434665104036 in words is "three trillion, four hundred thirty-four billion, six hundred sixty-five million, one hundred four thousand, thirty-six".