2946829644 has 216 divisors, whose sum is σ = 8690922240. Its totient is φ = 839488320.

The previous prime is 2946829573. The next prime is 2946829661. The reversal of 2946829644 is 4469286492.

2946829644 is a `hidden beast` number, since 294 + 68 + 296 + 4 + 4 = 666.

2946829644 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 6712377 + ... + 6712815.

Almost surely, 2^2946829644 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 2946829644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345461120).

2946829644 is an abundant number, since it is smaller than the sum of its proper divisors (5744092596).

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

2946829644 is a wasteful number, since it uses less digits than its factorization.

2946829644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2946829644 is about 54284.7091177617. The cubic root of 2946829644 is about 1433.6781838835.

The spelling of 2946829644 in words is "two billion, nine hundred forty-six million, eight hundred twenty-nine thousand, six hundred forty-four".