3414041761536 has 864 divisors, whose sum is σ = 12218939611200. Its totient is φ = 936404582400.

The previous prime is 3414041761531. The next prime is 3414041761621. The reversal of 3414041761536 is 6351671404143.

3414041761536 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 0 + 41 + 76 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3414041761536² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3414041761491 and 3414041761500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414041761531) 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, 1895635836 + ... + 1895637636.

Almost surely, 2^{3414041761536} is an apocalyptic number.

3414041761536 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 3414041761536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109469805600).

3414041761536 is an abundant number, since it is smaller than the sum of its proper divisors (8804897849664).

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

3414041761536 is a wasteful number, since it uses less digits than its factorization.

3414041761536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3414041761536 in words is "three trillion, four hundred fourteen billion, forty-one million, seven hundred sixty-one thousand, five hundred thirty-six".