4345660800 has 768 divisors, whose sum is σ = 17689492800. Its totient is φ = 1035141120.

The previous prime is 4345660799. The next prime is 4345660877. The reversal of 4345660800 is 80665434.

4345660800 is a `hidden beast` number, since 4 + 3 + 45 + 6 + 608 + 0 + 0 = 666.

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, 59529564 + ... + 59529636.

Almost surely, 2^4345660800 is an apocalyptic number.

4345660800 is a gapful number since it is divisible by the number (40) 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 4345660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844746400).

4345660800 is an abundant number, since it is smaller than the sum of its proper divisors (13343832000).

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

4345660800 is a wasteful number, since it uses less digits than its factorization.

4345660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4345660800 is about 65921.6261935338. The cubic root of 4345660800 is about 1631.8689341111.

The spelling of 4345660800 in words is "four billion, three hundred forty-five million, six hundred sixty thousand, eight hundred".