3946873392 has 200 divisors, whose sum is σ = 14242516992. Its totient is φ = 1025136000.

The previous prime is 3946873387. The next prime is 3946873429. The reversal of 3946873392 is 2933786493.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80017 + ... + 119567.

Almost surely, 2^3946873392 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 3946873392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7121258496).

3946873392 is an abundant number, since it is smaller than the sum of its proper divisors (10295643600).

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

3946873392 is a wasteful number, since it uses less digits than its factorization.

3946873392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39589 (or 39574 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3946873392 is about 62824.1465680195. The cubic root of 3946873392 is about 1580.3419374237.

It can be divided in two parts, 394 and 6873392, that added together give a palindrome (6873786).

The spelling of 3946873392 in words is "three billion, nine hundred forty-six million, eight hundred seventy-three thousand, three hundred ninety-two".