3558968305464 has 768 divisors, whose sum is σ = 11577593088000. Its totient is φ = 899531243520.

The previous prime is 3558968305331. The next prime is 3558968305469. The reversal of 3558968305464 is 4645038698553.

It is a super-2 number, since 2×3558968305464² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3558968305395 and 3558968305404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3558968305469) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5256969094 + ... + 5256969770.

It is an arithmetic number, because the mean of its divisors is an integer number (15074991000).

Almost surely, 2^{3558968305464} is an apocalyptic number.

3558968305464 is a gapful number since it is divisible by the number (34) 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 3558968305464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788796544000).

3558968305464 is an abundant number, since it is smaller than the sum of its proper divisors (8018624782536).

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

3558968305464 is a wasteful number, since it uses less digits than its factorization.

3558968305464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 66.

The spelling of 3558968305464 in words is "three trillion, five hundred fifty-eight billion, nine hundred sixty-eight million, three hundred five thousand, four hundred sixty-four".