3941892864 has 360 divisors, whose sum is σ = 14473400480. Its totient is φ = 1039122432.

The previous prime is 3941892863. The next prime is 3941892937. The reversal of 3941892864 is 4682981493.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3941892864.

It is not an unprimeable number, because it can be changed into a prime (3941892863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1885932 + ... + 1888020.

Almost surely, 2^3941892864 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 3941892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236700240).

3941892864 is an abundant number, since it is smaller than the sum of its proper divisors (10531507616).

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

3941892864 is a wasteful number, since it uses less digits than its factorization.

3941892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2114 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 3941892864 is about 62784.4954108895. The cubic root of 3941892864 is about 1579.6769173291.

The spelling of 3941892864 in words is "three billion, nine hundred forty-one million, eight hundred ninety-two thousand, eight hundred sixty-four".