4350616704 has 384 divisors, whose sum is σ = 15600124800. Its totient is φ = 1187923968.

The previous prime is 4350616679. The next prime is 4350616717. The reversal of 4350616704 is 4076160534.

It is a happy number.

4350616704 is a `hidden beast` number, since 4 + 35 + 0 + 616 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3894354 + ... + 3895470.

It is an arithmetic number, because the mean of its divisors is an integer number (40625325).

Almost surely, 2^4350616704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4350616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800062400).

4350616704 is an abundant number, since it is smaller than the sum of its proper divisors (11249508096).

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

4350616704 is a wasteful number, since it uses less digits than its factorization.

4350616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4350616704 is about 65959.2048466323. The cubic root of 4350616704 is about 1632.4890402922.

The spelling of 4350616704 in words is "four billion, three hundred fifty million, six hundred sixteen thousand, seven hundred four".