3468816000 has 768 divisors, whose sum is σ = 14335120800. Its totient is φ = 796262400.

The previous prime is 3468815993. The next prime is 3468816011. The reversal of 3468816000 is 6188643.

It is a happy number.

3468816000 is a `hidden beast` number, since 3 + 46 + 8 + 8 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 87160896 + 3381655104 = 9336^2 + 58152^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31823946 + ... + 31824054.

Almost surely, 2^3468816000 is an apocalyptic number.

3468816000 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 3468816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167560400).

3468816000 is an abundant number, since it is smaller than the sum of its proper divisors (10866304800).

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

3468816000 is a wasteful number, since it uses less digits than its factorization.

3468816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3468816000 is about 58896.6552530787. The cubic root of 3468816000 is about 1513.7718373652.

The spelling of 3468816000 in words is "three billion, four hundred sixty-eight million, eight hundred sixteen thousand".