4306046976 has 624 divisors, whose sum is σ = 16314899328. Its totient is φ = 1061683200.

The previous prime is 4306046963. The next prime is 4306047019. The reversal of 4306046976 is 6796406034.

4306046976 is a `hidden beast` number, since 4 + 30 + 604 + 6 + 9 + 7 + 6 = 666.

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, 105025516 + ... + 105025556.

It is an arithmetic number, because the mean of its divisors is an integer number (26145672).

Almost surely, 2^4306046976 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 4306046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157449664).

4306046976 is an abundant number, since it is smaller than the sum of its proper divisors (12008852352).

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

4306046976 is a wasteful number, since it uses less digits than its factorization.

4306046976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4306046976 is about 65620.4768041196. The cubic root of 4306046976 is about 1626.8952373724.

It can be divided in two parts, 430604 and 6976, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 4306046976 in words is "four billion, three hundred six million, forty-six thousand, nine hundred seventy-six".