3414130363644 has 384 divisors, whose sum is σ = 11253087627264. Its totient is φ = 777019392000.

The previous prime is 3414130363597. The next prime is 3414130363717. The reversal of 3414130363644 is 4463630314143.

3414130363644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3414130363644² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3414130363596 and 3414130363605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18128524 + ... + 18315884.

It is an arithmetic number, because the mean of its divisors is an integer number (29304915696).

Almost surely, 2^{3414130363644} 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 3414130363644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626543813632).

3414130363644 is an abundant number, since it is smaller than the sum of its proper divisors (7838957263620).

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

3414130363644 is a wasteful number, since it uses less digits than its factorization.

3414130363644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187477 (or 187475 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

Adding to 3414130363644 its reverse (4463630314143), we get a palindrome (7877760677787).

The spelling of 3414130363644 in words is "three trillion, four hundred fourteen billion, one hundred thirty million, three hundred sixty-three thousand, six hundred forty-four".