4350108672 has 792 divisors, whose sum is σ = 17081805600. Its totient is φ = 1086898176.

The previous prime is 4350108667. The next prime is 4350108689. The reversal of 4350108672 is 2768010534.

4350108672 is a `hidden beast` number, since 4 + 3 + 501 + 0 + 86 + 72 = 666.

It is a super-3 number, since 3×4350108672³ (a number of 30 digits) contains 333 as substring.

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

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, 228953079 + ... + 228953097.

Almost surely, 2^4350108672 is an apocalyptic number.

4350108672 is a gapful number since it is divisible by the number (42) 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 4350108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540902800).

4350108672 is an abundant number, since it is smaller than the sum of its proper divisors (12731696928).

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

4350108672 is a wasteful number, since it uses less digits than its factorization.

4350108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4350108672 is about 65955.3536265253. The cubic root of 4350108672 is about 1632.4254945919.

The spelling of 4350108672 in words is "four billion, three hundred fifty million, one hundred eight thousand, six hundred seventy-two".