3451608000 has 168 divisors, whose sum is σ = 12347234640. Its totient is φ = 920409600.

The previous prime is 3451607993. The next prime is 3451608019. The reversal of 3451608000 is 8061543.

3451608000 is a `hidden beast` number, since 3 + 4 + 51 + 608 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48031 + ... + 95969.

Almost surely, 2^3451608000 is an apocalyptic number.

3451608000 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 3451608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173617320).

3451608000 is an abundant number, since it is smaller than the sum of its proper divisors (8895626640).

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

3451608000 is a wasteful number, since it uses less digits than its factorization.

3451608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47972 (or 47949 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3451608000 is about 58750.3872327664. The cubic root of 3451608000 is about 1511.2645285092.

Adding to 3451608000 its reverse (8061543), we get a palindrome (3459669543).

The spelling of 3451608000 in words is "three billion, four hundred fifty-one million, six hundred eight thousand".