4314945600 has 672 divisors, whose sum is σ = 18947993600. Its totient is φ = 933120000.

The previous prime is 4314945599. The next prime is 4314945601. The reversal of 4314945600 is 65494134.

4314945600 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 9 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4314945599) and next prime (4314945601).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (4314945601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5745225 + ... + 5745975.

Almost surely, 2^4314945600 is an apocalyptic number.

4314945600 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 4314945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473996800).

4314945600 is an abundant number, since it is smaller than the sum of its proper divisors (14633048000).

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

4314945600 is a wasteful number, since it uses less digits than its factorization.

4314945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4314945600 is about 65688.2455238378. The cubic root of 4314945600 is about 1628.0151483558.

The spelling of 4314945600 in words is "four billion, three hundred fourteen million, nine hundred forty-five thousand, six hundred".