3468563481600 has 792 divisors, whose sum is σ = 14213641036608. Its totient is φ = 791676518400.

The previous prime is 3468563481571. The next prime is 3468563481637. The reversal of 3468563481600 is 61843658643.

3468563481600 is a `hidden beast` number, since 3 + 4 + 68 + 563 + 4 + 8 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×3468563481600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1711179787 + ... + 1711181813.

Almost surely, 2^{3468563481600} is an apocalyptic number.

3468563481600 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 3468563481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7106820518304).

3468563481600 is an abundant number, since it is smaller than the sum of its proper divisors (10745077555008).

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

3468563481600 is a wasteful number, since it uses less digits than its factorization.

3468563481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3468563481600 in words is "three trillion, four hundred sixty-eight billion, five hundred sixty-three million, four hundred eighty-one thousand, six hundred".