3418691326560 has 960 divisors, whose sum is σ = 12717393087168. Its totient is φ = 863976554496.

The previous prime is 3418691326513. The next prime is 3418691326601. The reversal of 3418691326560 is 656231968143.

3418691326560 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 69 + 13 + 2 + 6 + 560 = 666.

It is a super-2 number, since 2×3418691326560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3418691326497 and 3418691326506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3116399932 + ... + 3116401028.

Almost surely, 2^{3418691326560} is an apocalyptic number.

3418691326560 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 3418691326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358696543584).

3418691326560 is an abundant number, since it is smaller than the sum of its proper divisors (9298701760608).

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

3418691326560 is a wasteful number, since it uses less digits than its factorization.

3418691326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3418691326560 in words is "three trillion, four hundred eighteen billion, six hundred ninety-one million, three hundred twenty-six thousand, five hundred sixty".