3954734784 has 672 divisors, whose sum is σ = 16065154560. Its totient is φ = 898283520.

The previous prime is 3954734783. The next prime is 3954734801. The reversal of 3954734784 is 4874374593.

3954734784 is a `hidden beast` number, since 3 + 95 + 473 + 4 + 7 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3954734784.

It is not an unprimeable number, because it can be changed into a prime (3954734783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208143927 + ... + 208143945.

It is an arithmetic number, because the mean of its divisors is an integer number (23906480).

Almost surely, 2^3954734784 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 3954734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032577280).

3954734784 is an abundant number, since it is smaller than the sum of its proper divisors (12110419776).

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

3954734784 is a wasteful number, since it uses less digits than its factorization.

3954734784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 55 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 3954734784 is about 62886.6820877044. The cubic root of 3954734784 is about 1581.3904845339.

The spelling of 3954734784 in words is "three billion, nine hundred fifty-four million, seven hundred thirty-four thousand, seven hundred eighty-four".